Last update: July 2014      

  Publications

Papers (Inverse Cronological order)



[54] Carillo S., P.M. Jordan,   A Note on the propagation of second-sound in nonlinear conductors of the Graffi-Franchi-Straughan type,
in preparation. 

[55] Carillo S.,   Singular Kernel  Problems in Materials with Memory,  Meccanica, 1-15,  (2014);
10.1007/s11012-014-0083-y
[53] Carillo S., V. Valente e G. Vergara Caffarelli  Heat Conduction With Memory:  A  Singular  Kernel Problem,  Evolution Equations and Control Theory, 3 (3), 399 - 410, (2014);
  doi:10.3934/eect.2014.3.399,  http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10268
∙ original research paper on an International Journal ∙
[52] Amendola G., Carillo S., J.M. Golden e Manes A. Viscoelastic Fluids: Free Energies, Differential Problems And Asymptotic Behaviour, Discrete and Continuous Dynamical Systems - Series B, 19 (7), 1815 - 1835, (2014); doi:10.3934/dcdsb.2014.19.1815 http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10167

∙ original research paper on an International Journal ∙

[51] Carillo S.,   A  Singular  Kernel Viscoelasticity Problem,  Aimeta 2013, XXI Congresso AIMETA, Memorie del XXI Congresso AIMETA 2013, G. Lacidogna and A.Carpinteri Ed.s, ISBN 978-88-8239-183-6, (2013);
available also online

[50] Carillo S., V. Valente e G. Vergara Caffarelli A linear viscoelasticity problem with a singular memory kernel: an existence and uniqueness result, Differential and Integral Equations, 26, n. 9/10, 1115-1125 (2013); http://projecteuclid.org/euclid.die/1372858565
Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[49] Carillo S., Nonlinear Evolution Equations: Bäcklund Transformations and Bäcklund Charts, Acta Applicandae Mathematicae, (2012); doi: 10.1007/s10440-012-9729-8;

∙ original research paper on an International Journal ∙
[48] Carillo S., Fourier Series, in Encyclopedia of Thermal Stresses, Hetnarski, Richard (Ed.),  1736-1742, Springer- Verlag, ISBN 978-94-007-2738-0 (2014);
   doi: 10.1007/978-94-007-2739-7_23
∙ book chapter ∙
[47] Carillo S., C. Schiebold On the recursion operator for the noncommutative Burgers hierarchy,   J. Nonlinear Math. Phys.,11 pages, Volume 19,  n. 1, (2012);
URL:  (Journal web page)   http://www.worldscientific.com/doi/pdf/10.1142/S1402925112500039
http://www.worldscinet.com/jnmp/19/1901/S14029251121901.html
DOI No: 10.1142/S1402925112500039
  Refereed on MathSciNet

∙ original research paper on an International Journal ∙   

[46] Carillo S., V. Valente  and G. Vergara Caffarelli An existence theorem for the magneto-viscoelastic problem, Discrete and Continuous Dynamical Systems Series S. , 435 – 447 (5), n.  3, (2012); doi:10.3934/dcdss.2012.5.435                                                                                

 A.M.S. classification 74H20, 35Q74   45K05;      
URL:  ISI PUBBLICATION
URL: http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=6616

Refereed on MathSciNet

∙ original research paper on an International Journal ∙

[45] Amendola G., Carillo S. e Manes A. Classical free energies of a heat conductor with memory and the minimum free energy for its discrete spectrum model, Bollettino U. M.l., sect. B, 421 – 446 (3)   3, (2010);                                                                                     ISSN: 1972-6724;           

URL: (Journal web page)  http://umi.dm.unibo.it/bollettino_dell_unione_matematica_italiana--68.html

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[44] Carillo S., C. Schiebold Recursion Techniques And Explicit Solutions of Integrable Noncommutative Hierarchies, in Proceedings WASCOM2009, 15th International Conference on Waves and Stability in Continuous Media, A. Greco, S. Rionero e T. Ruggeri, Ed.s, World Scientific Pubbl., Singapore, 74–80, (2010);

URL:  http://eproceedings.worldscinet.com/9789814317429/9789814317429_0013.html
Refereed on MathSciNet

∙ International Conference Proceedings Paper ∙ 

[43] Carillo S., V. Valente e G. Vergara Caffarelli A result of existence and uniqueness for an integro-differential system in magneto-viscoelasticity, Applicable Analisys: An International Journal, 1563-504X, First published on 19 August 2010, (2010); p. 1-12,  doi: 10.1080/00036811003735832;

ISSN: 0003-6811
URL:  ISI PUBBLICATION REF
URL: http://www.tandfonline.com/doi/abs/10.1080/00036811003735832
Refereed on MathSciNet

∙ original research paper on an International Journal ∙

[42] Carillo S., C. Schiebold A non-commutative operator-hierarchy of Burgers equations and Bäcklund transformations, in Applied and Industrial Mathematics in Italy III: Selected Contributions from the 9th SIMAI Conference, E. De Bernardis, R. Spigler e V. Valente Ed.s, SERIES ON ADVANCES IN MATHEMATICS FOR APPLIED SCIENCES, vol.82, pp. 175 –185, World Scientific Pubbl., Singapore, 2009;                                                                                                                                                                                                             ISBN 978-981-4280-29-7  981-4280-29-1;

URL:  ISI PUBBLICATION REF
URL: http://eproceedings.worldscinet.com/9789814280303/9789814280303_0016.html
Refereed on MathSciNet

∙ National Conference Proceedings Paper ∙

[41] Carillo S., C. Schiebold Matrix Korteweg- de Vries and modified Korteweg-de Vries hierarchies. Noncommutative Soliton Solutions,   J. Math. Phys., 52, 5 (2011), 053507, publ. online 13 May 2011;

URL: ISI PUBBLICATION REF   
URL: SCOPUS 
URL: http://jmp.aip.org/resource/1/jmapaq/v52/i5/p053507_s1?isAuthorized=no

Refereed on MathSciNet
∙ original research paper on an International Journal ∙


[40] Carillo S., Materials with Memory: Free Energies & Solutions’ Exponential Decay, Communications on Pure And Applied Analysis, p. 1235 – 1248, ISSN: 1534-0392, Volume 9, Number 5, September (2010);   doi:10.3934/cpaa.2010.9.1235

 URL:  http://www.aimsciences.org/journals/displayPaper.jsp?paperID=5182
URL:  http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=000277821800008&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet
∙ original research paper on an International Journal ∙
 

[39] Carillo S., Nonlinear Hyperbolic Equations and Linear Heat Conduction with Memory, in Mechanics of Microstructured Solids 2 Cellular Materials, Fibre Reinforced Solids and Soft Tissues, Series: Lecture Notes in Applied and Computational Mechanics , Vol. 50 J.-F. Ganghoffer e F. Pastrone (Eds.), VIII, 63 – 70, 2010;                                                                                                                                                                   
                                             ISBN: 978-3-642-05170-8

URL:  http://www.springerlink.com/content/1r70l5k2j76w6314/

∙ International Conference Proceedings Paper ∙ 

[38] Carillo S., Bäcklund Transformations & Heat Conduction with Memory, in Proceedings New Trends in Fluid and Solid Models Supplement, In honour of Brian Straughan, 28 febbraio - 1 marzo 2008, VIETRI, Salerno, World Scientific Pubbl., M. Ciarletta et al. Ed.s;

URL: http://www.worldscientific.com/worldscibooks/10.1142/7585#t=suppl

∙ International Conference Proceedings Paper ∙

[37] Carillo S., C. Schiebold Noncommutative Kortewegde Vries and modified Kortewegde Vries Hierarchies via Recursion Methods,  J. Math. Phys., 50,(2009),073510, published online 20 July 2009; doi:10.1063/1.3155080

URL: http://jmp.aip.org/resource/1/jmapaq/v50/i7/p073510_s1
URL: http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=000268614500029&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[36] Carillo S., Bäcklund Charts & Applications, in Proceedings WASCOM2007, 14th International Conference on Waves and Stability in Continuous Media, N. Manganaro, R. Monaco, S. Rionero e T. Ruggeri, Ed.s, World Scientific Pubbl., Singapore, (2008), pp. 128-134; doi:10.1142/9789812772350˙0020
URL: http://eproceedings.worldscinet.com/9789812772350/9789812772350_0020.html

Refereed on MathSciNet
∙ International Conference Proceedings Paper ∙

[35] Carillo S., Evolution Problems in Materials with Fading Memory,
LE MATEMATICHE, Vol. LXII Fasc. II, 93–105, (2007);                                                                                        
A.M.S. classification 74F05  35K20 74A15 74Dxx;
URL: ISI PUBBLICATION REF
URL: http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/30

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[34] Carillo S., An evolution problem in materials with fading memory: solution’s existence and uniqueness, Complex Variables and Elliptic Equations An International Journal, 56 n.5, 481 – 492, 2011; doi:10.1080/17476931003786667                                
                                                                                                             A.M.S. classification 80A20  74A15 74F05;
URL: ISI PUBBLICATION REF
URL: http://www.tandfonline.com/doi/abs/10.1080/17476931003786667

∙ original research paper on an International Journal ∙

[33] Carillo S., Existence, Uniqueness and Exponential Decay: an Evolution Problem in Heat Conduction with Memory, Quarterly of Appl. Math.,  LXIX, N. 4,   635--649,, S 0033-569X(2011)01223-1, Article electronically published on July 7, 2011;
                                                                                                                                                 A.M.S. classification 74F05  35K20 74A15 74Dxx;
URL:  ISI PUBBLICATION REF
URL:  http://www.ams.org/journals/qam/2011-69-04/S0033-569X-2011-01223-1/

∙ original research paper on an International Journal ∙

[32] Carillo S., Some Remarks on Materials with Memory: Heat Conduction and Viscoelasticity, (invited paper)  Journal of Nonlinear Mathematical Physics in honour of Francesco Calogero’s 70-th birthday, Supplement 1, 12, 163–178, (2005); doi:10.2991/jnmp.2005.12.s1.14

                                                                                                                                                      A.M.S. classification 80A20  74A15 74F05;

URL:  ISI PUBBLICATION REF
URL: http://www.atlantis-press.com/publications/jnmp/index_jnmp.html?http%3A//www.atlantis-press.com/php/paper-details.php%3Fid%3D488

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[31] Carillo S., M. Chipot e G. Vergara Caffarelli Non local Soft N Membrane Problem, Proceedings WASCOM2003, 12th International Conference on Waves and Stability in Continuous Media, R. Monaco, S. Pennisi, S. Rionero e T. Ruggeri, Ed.s, World Scientific Pubbl., Singapore, (2004), 116-121; doi:10.1142/9789812702937˙0015     
                                                                                                                                   A.M.S. classification 35J20   49J40 74G65;
URL:  http://eproceedings.worldscinet.com/9789812702937/9789812702937_0015.html

Refereed on MathSciNet
∙ International Conference Proceedings Paper ∙

[30] Carillo S., M. Chipot e G. Vergara Caffarelli The N-membrane problem with nonlocal constraints, J. Math. Anal. and Appl., 308, n.1, (2005), 129-139; doi:10.1016/j.jmaa.2004.11.024    
                                                                                                                                                   A.M.S. classification 35J85    (49J20);
URL:  ISI PUBBLICATION REF
URL;  http://www.sciencedirect.com/science/article/pii/S0022247X04009412 

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[29] Amendola G. e Carillo S., Thermal work and minimum free energy in a heat conductor with memory, Quarterly Journal Mech. Appl. Math., 57 3, (2004), 429-446; doi:10.1093/qjmam/57.3.429     
                                                                                                                                A.M.S. classification 80A20  74A15 74F05;
URL:  ISI PUBBLICATION REF
URL: http://qjmam.oxfordjournals.org/content/57/3/429

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[28] Carillo S.,  Variational Setting of Nonlinear Equilibrium Problem: Wedge Discontinuity Lines,  in Proceedings WASCOM2001, 11th International Conference on Waves and Stability in Continuous Media, R. Monaco, M. Pandolfi Bianchi e S. Rionero, Ed.s, World Scientific Pubbl., River Edge, NJ, (2002), 136-143; doi:10.1142/9789812777331˙0019   
                                                                                                                                                     A.M.S. classification 74B20  74A99;
URL:  ISI PUBBLICATION REF
URL:  http://eproceedings.worldscinet.com/9789812777331/9789812777331_0019.html

Refereed on MathSciNet
∙ International Conference Proceedings Paper ∙

[27] Carillo S.,  Null Lagrangians and Surface Interaction Potentials in Nonlinear Elasticity,  Proceedings Incontro scientifico su Modelli matematici e problemi analitici per materiali speciali, M. Fabrizio, B. Lazzari e A. Morro, Ed.s, Series on Advances in Mathematics for Applied Sciences, 62, World Scientific Publishing, River Edge, NJ, (2002), 9-19;  doi:10.1142/9789812776273˙0002       
                                                                                                                                                             A.M.S. classification 74B20;
URL:  http://eproceedings.worldscinet.com/9789812776273/9789812776273_0002.html

Refereed on MathSciNet
∙ International Conference Proceedings Paper ∙
[26] Carillo S., P. Podio-Guidugli, G. Vergara Caffarelli Second-Order Surface Interaction Potentials,
in Rational Continua, Classical and New, M. Brocato and P. Podio-Guidugli Ed.s, Springer-Verlag, (2003), 19-38;                            
A.M.S. classification 74B20  74A30;

URL: http://www.sciencedirect.com/science/article/pii/S0022247X00968896

Refereed on MathSciNet
∙ original research paper on an International Book ∙

[25] Carillo S., Variational Setting of a Nonlinear Interaction Problem,
Nonlinear Analysis, 47, (2001), 447-456;  doi:10.1016/S0362-546X(01)00190-0                                                                                                                                                                                                                                                                                        A.M.S. classification 49J10   74A99 74G65;
URL:  http://www.sciencedirect.com/science/article/pii/S0362546X01001900
URL:  http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=000170625400041&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[24] Carillo S., A Novel Bäcklund Invariance of a Nonlinear Differential Equation,  J. Math. Anal. and Appl., 252, (2000),
828-839; doi:10.1006/jmaa.2000.7126                                                                                                                                                   
  A.M.S. classification 34A25;
URL:  http://www.sciencedirect.com/science/article/pii/S0022247X00971269
URL:  http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=000166114700019&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[23] Carillo S., P. Podio-Guidugli, G. Vergara Caffarelli Energy Estimates in Hierarchical Plate Theories, J. Math. Anal. and Appl., 248, (2000), 216-232; doi:10.1006/jmaa.2000.6889   
                                                                                                                                                             A.M.S. classification 74K20  35Q72;
URL:  http://www.sciencedirect.com/science/article/pii/S0022247X00968896
URL:  http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=000088486100014&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[22] Carillo S.,  A Hierarchy of Approximated solutions in a Linear Elasticity Equibrium Problem,  in  Proceedings WASCOM ’99, Xth International Conference on Waves and Stability in Continuous Media, V. Ciancio, A. Donato, F.Oliveri e S. Rionero ed.s, World Scientific Pubbl., Singapore, (2001), 86-93;
                                                                                                                                                                     A.M.S. classification 74G10 74B05;
URL:  http://www.worldscibooks.com/mathematics/4627.html

Refereed on MathSciNet
∙ International Conference Proceedings Paper ∙

[21] Carillo S., Oevel W.,  Squared Eigenfunction Symmetries for Soliton Equations: Part II,  J. Math. Anal. and Appl., 217, (1998), 179-199; doi:10.1006/jmaa.1997.5708                                                                                                                                  
              A.M.S. classification 58F07   35Q53   35S05;
URL:  http://www.sciencedirect.com/science/article/pii/S0022247X97957085
URL: http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=000071726200010&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet                        (A SINGLE REVIEW REFERS TO BOTH JOINT PAPERS[20] and [21])

∙ original research paper on an International Journal ∙

[20] Carillo S., Oevel W.,  Squared Eigenfunction Symmetries for Soliton Equations: Part I,  J. Math. Anal. and Appl., 217, (1998), 161-178; doi:10.1006/jmaa.1997.5707                                                                                                                                  
              A.M.S. classification 58F07   35Q53   35S05;
URL: http://www.sciencedirect.com/science/article/pii/S0022247X97957073
URL: http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=000071726200009&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet                         (A SINGLE REVIEW REFERS TO BOTH JOINT PAPERS[20] and [21])

∙ original research paper on an International Journal ∙

[19] Carillo S., Fuchssteiner B.,  Some remarks on a Class of Ordinary Differential Equations: the Riccati Property, in:   Modern Group Analysis: Advanced Analytical Methods in Mathematical Physics,  Ibragimov N.H., Torrisi M., Valenti A. eds,  Kluwer Academic Pubbl. (1993), 85-97,
                                                                                                                                                                                  A.M.S. classification 34A99   34A05   34A25   34A34;
URL: (proc.book) http://www.springer.com/mathematics/algebra/book/978-0-7923-2480-5
URL: http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=A1993BA20B00008&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet
∙ International Conference Proceedings Paper ∙

[18] Carillo S.,  The Burgers Equation: Explicit Solutions of an Initial Boundary Value Problem,  in: NONLINEAR HYPERBOLIC PROBLEMS: THEORETICAL, APPLIED, AND COMPUTATIONAL ASPECTS  Book Series: NOTES ON NUMERICAL FLUID MECHANICS 43, Donato A., Oliveri F. eds,  Springer-Verlag, (1993), 119-126,                                                                                                                    
        A.M.S. classification 35Q53   35C10;

URL: http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=A1993BD18D00014&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet
∙ International Conference Proceedings Paper ∙

[17] Carillo S., Fuchssteiner B., Schulze T.,  Explicit solutions for the Harry Dym equation,  J. Phys. A: Math. Gen., 25, (1992), 223-230,
                                                                                                                                                      A.M.S. classification 35Q53   35A30   35C05   58F07;
URL: http://iopscience.iop.org/0305-4470/25/1/025/
URL: SCOPUS 
URL: http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=A1992HA16200025&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[16] Carillo S.,  Bäcklund Transformations and Spectral Problems: the Korteweg-deVries interacting soliton equation and the action-angle transformation,  in: VI Workshop: Nonlinear Evolution Equations and Dynamical Systems, proceedings, Makhankov V.G. et al. eds.,  Springer-Verlag, (1991),
A.M.S. classification 58F07;
∙ International Conference Proceedings Paper ∙
[15] Carillo S., Fuchssteiner B., A new class of nonlinear partial differential equations solvable by quadratures,  in: Analysis and Geometry,  Fuchssteiner B., Luxemburg W.A.J. eds,  Wissenshaftsverlag, Mannheim-Leipzig-Wien-Zürig, (1992), 73-85,
A.M.S. classification 35C15   35A25;
Refereed on MathSciNet
∙ original research paper (not published elsewhere) on an International Book ∙
[14] Carillo S., Fuchssteiner B., Konopel'chenko B.,  The action-angle transformation for interacting solitons and the dynamics of eigenfunctions for soliton equations,  Rend. Mat., Serie VII, II, (1991), 201-226,
 A.M.S. classification 58F07   35Q51   58F35;
Refereed on MathSciNet
∙ original research paper on an International Journal ∙
[13] Carillo S.,  Third Order Nonlinear Hamiltonian Systems: Some remarks on the Action-Angle transformation,  in: XIXth International Conference Differential Geometrical Methods in Theoretical Physics,  Proceedings,  Bartocci C., Bruzzo U., Cianci R. eds,  Springer-Verlag, (1991), 375-379, doi:10.1007/3-540-53763-5˙73
A.M.S. classification 58F37   35Q51   58F07;
URL: http://www.springerlink.com/content/px58574543753158/
 https://springerlink3.metapress.com/content/px58574543753158/resource-secured/?target=fulltext.pdf&sid=zo35ypt3mbsrwdgl3vuamprr&sh=www.springerlink.com

Refereed on MathSciNet
∙ International Conference Proceedings Paper ∙

[12] Carillo S., Fuchssteiner B.,  The Action-Angle Transformation for Soliton Equations,  Physica A, 166, (1990), 651-676, doi:10.1016/0378-4371(90)90078-7
A.M.S. classification 58F37   35Q51   58F07;
URL: http://www.sciencedirect.com/science/article/pii/0378437190900787
URL: http://apps.webofknowledge.com/InboundService.do?SID=Y1NgmIHLeMb7FPfk1Aj&product=WOS&UT=A1990DV53200015&SrcApp=EndNoteWeb&DestFail=http%3A%2F%2Faccess.isiproducts.com%2Fcustom_images%2Fwok5_failed_auth.html&Init=Yes&action=retrieve&SrcAuth=ISIResearchSoft&customersID=ISIResearchSoft&mode=FullRecord

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[11] Carillo S., Fuchssteiner B.,  The Action-Angle Transformation for the Korteweg-deVries Equation,  in: Nonlinear Evolution equations and dynamical systems, Vth Workshop, proceedings,  Carillo S., Ragnisco O. eds., Springer-Verlag, (1990), 127-130,
A.M.S. classification 58F37   35Q53   58F07;
URL: http://www.sciencedirect.com/science/article/pii/0378437190900787

Refereed on MathSciNet
∙ International Conference Proceedings Paper ∙

[10] Carillo S.,  Invariance Properties and Symmetry Structure of Integrable Systems,  Ph.D. Thesis, Waterloo, Ontario, Canada, (1989), pubblicata ProQuest LLC, Thesis
ISBN 978- 0315-49213-4;
URL: http://gateway.proquest.com/openurl?url˙ver=Z39.88-2004rft˙val˙fmt=info:ofi/fmt:kev:mtx:dissertationres˙dat=xri:pqdissrft˙dat=xri:pqdiss:NL49213

Refereed on MathSciNet

∙ Ph.D. Thesis recensita su MathSciNet e disponibile online∙

[9] Carillo S., Fuchssteiner B. Soliton structure versus singularity analysis: third order completely integrable non linear differential equations in 1 + 1-dimensions,  Physica A, 154, (1989), 467-510, doi:10.1016/0378-4371(89)90260-4
A.M.S. classification 58G37   35Q20   45K05;
REF: ISI PUBBLICATION REF
URL: http://www.sciencedirect.com/science/article/pii/0378437189902604

Refereed on MathSciNet

∙ original research paper on an International Journal ∙

[8] Carillo S., Fuchssteiner B. The Soliton-Singularity transform,  in: Nonlinear Evolution Equations: Integrability and Spectral Methods,  Degasperis A., Fordy A.P. and Lakshmanan M. eds.,  Manchester University Press, (1990), 159-174,
A.M.S. classification 58G37   58F07;

URL: ISI WEB publ http://apps.webofknowledge.com/....
∙ International Conference Proceedings Paper ∙

[7] Carillo S., Fuchssteiner B. Non commutative symmetries and new solutions of the Harry Dym equation,  in: Nonlinear Evolution Equations: Integrability and Spectral Methods,  Degasperis A., Fordy A.P. and Lakshmanan M. eds.,  Manchester University Press, (1990), 351-366, 
                                                        A.M.S. classification 58G35  35Q20  58F07  58G37;
URL: ISI WEB publ http://apps.webofknowledge.com/....

∙ International Conference Proceedings Paper ∙
[6] Carillo S., Fuchssteiner B.,  The aboundant symmetry structure of non linear equations obtained by reciprocal links,  J. Math. Phys., 30, (1989), pp.1606-1613, doi:10.1063/1.528604                                                                                                                                           
 A.M.S. classification 58G35  35Q20  58F07  58G37;
URL:  ISI WEB publ http://apps.webofknwledge.com...
URL:  http://jmp.aip.org/resource/1/jmapaq/v30/i7/p1606_s1?isAuthorized=no

Refereed on MathSciNet
∙ original research paper on an International Journal ∙

[5] Carillo S.,  Painlevé Property: a conjectured integrability test for non linear partial differential equations, Quaderni, 1, Dipartimento Metodi e Modelli Matematici per le Scienze Applicate, Roma, (1988), 1 - 23,                                                                                                         
A.M.S. classification 58G37  35Q20  58F07;
Refereed on MathSciNet
∙ Review Paper ∙
[4] Carillo S., Rogers C.,  Bäcklund Charts for the Caudrey-Dodd-Gibbon and Kaup-Kupershmidt hierarchies,  in: Nonlinear Evolution Equations and Dynamical Systems,  Leon J.J.P. ed., World Scientific Pubbl., Singapore, (1988), 57 - 73,                                                       
 A.M.S. classification 58G37  35Q20  58F07;
URL:  http://eproceedings.worldscinet.com/9789812772350/9789812772350_0020.html
Refereed on MathSciNet

∙ Internazional Conference Proceedings Paper ∙
[3] Carillo S., Rogers C.,  On reciprocal properties of the Caudrey-Dodd-Gibbon and Kaup-Kupershmidt hierarchies,  Physica Scripta, 36, (1987), 865-869,
                                                                                                                                                                    A.M.S. classification 35Q20  58F07    58F37   58G37;
URL: ISI PUBBLICATION REF 
URL: http://iopscience.iop.org/1402-4896/36/6/001/
Refereed on MathSciNet

∙ original research paper on an International Journal ∙

[2] Carillo S., Guo Ben-Yu,  Infiltration in soils with prescribed boundary concentration,  Acta Appl. Math. Sinica, 6, N.4, (1990), 365-369,
  doi: 10.1007/BF02015343  

A.M.S. classification 76S05  35K20   76R50  86A99;
URL: Journal web page (Springer)
URL: SCOPUS 
Refereed on MathSciNet

∙ original research paper on an International Journal 

[1] Bassani F., Quattropani A., Carillo S.,  Two photon transition to excited states in atomic hydrogen,  Phys. Rev. A 25, (1982), 3079-3089;

DOI: 10.1103/PhysRevA.25.3079
URL: http://pra.aps.org/abstract/PRA/v25/i6/p3079_1
URL: http://link.aps.org/doi/10.1103/PhysRevA.25.3079   
∙ original research paper on an International Journal ∙

Books    top


[1] Carillo S., Ragnisco O. Ed.s, Nonlinear Evolution Equations and Dynamical Systems,  Proceedings Book of the International Conference held in Kolimbary, Krete, 2 – 16 July 1989,  Springer-Verlag, Heidelberg-Berlin,1990;
Book's Web page (Springer)
ISBN 3-540-51983-1;
Refereed on MathSciNet

[2] D. Andreucci, S. Carillo, M. Fabrizio, P. Loreti, D. Sforza Ed.s, Evolution Equations and Materials with Memory, Proceedings Book of the International Conference held in Rome, Italy, 12 – 14 July 2010, SAPIENZA Università di Roma, 2011;
                                                                                                                                                                                                                            ISBN978-88-95814-51-3;
http://www.editricesapienza.it/node/6769

[3] S. Carillo, M. Fabrizio, N. Ianiro, M. Lo Schiavo, G. Spiga, Ed.s, A Selection of Scientific Papers by Vinicio C. Boffi,  SAPIENZA Università di Roma, 2014;

ISBN978-88-98533-20-6; 
http://www.editricesapienza.it/node/7353

Abstacts of Invited Talks and/or Conferences   top
(unpublished in Proceedings Books in crological order)

[1] Carillo S., B. Fuchssteiner An Application of the Action-Angle Transform: the Liouville Equation, in: Nonlinear Evolution Equations: Solitons and the Inverse Scattering Transform, Tagungsbericht 3/1990, Mathematisches Forschungsinstitut Oberwolfach, OBERWOLFACH, Germany, (1990);

[2]  Carillo S., Guo Benyu Infiltration in Soils with prescribed Boundary Concentration, in S.I.M.A.I.- ’92 10 Congresso Nazionale di Matematica Applicata e Industriale, Abstracts, Consiglio Nazionale delle Ricerche, FIRENZE, (1992);

[3]  Carillo S., Bäcklund Transformations and Nonlinear Evolution Equations, in: S.I.M.A.I.- ’96 30 Congresso Nazionale di Matematica Applicata e Industriale, Abstracts, Consiglio Nazionale delle Ricerche, SALICE TERME (PV), (1996);

[4]  Carillo S., Nonlinear Differential Equations: a Bäcklund Approach, Problemi non lineari nell’analisi e nelle applicazioni fisiche, chimiche e biologiche , MONTECATINI (PT), (1998);

[5]  Carillo S., V.C. Boffi A nonlinear differential problem in Extended Kinetic Theory, in: S.I.M.A.I.- ’98 40 Congresso Nazionale di Matematica Applicata e Industriale, Abstracts, Consiglio Nazionale delle Ricerche, GIARDINI NAXOS (ME), (1998);

[6]  Carillo S., G. Vergara Caffarelli, P. Podio-Guidugli On Second-Order Surface Interaction Potentials in Elasticity, in: S.I.M.A.I.- 2000 50 Congresso Nazionale di Matematica Applicata e Industriale, Abstracts, Consiglio Nazionale delle Ricerche, ISCHIA (NA), (2000);

[7] Carillo S., “Live” Surface Interactions in Elasticity, in: Modelli Matematici per la Scienza dei Materiali: Incontro Scientifico, RAITO (SA), (2000);

[8] Carillo S., Lagrangiane nulle in elasticità non lineare, in: Modelli Matematici per la Scienza dei Materiali: Incontro Scientifico, BRESSANONE (BZ), (2001);

[9] Carillo S., Symmetry Properties of Null Lagrangians, in: S.I.M.A.I.- 2002 60 Congresso Nazionale di Matematica Applicata e Industriale, Abstracts, Consiglio Nazionale delle Ricerche, CHIA LAGUNA (CA), (2002);

[10] Carillo S., Minimum free energy in heat conduction: materials with memory, in: Convegno UMI, MILANO, (2003);

[11] Carillo S., Materials with memory: minimum free energy in heat conduction and viscoelaticity, in: Fifth European Conference on Elliptic and Parabolic Problems: A Special Tribute to the Work of Haim Brezis, Gaeta (LT), (2004);

[12] Carillo S., Un problema di evoluzione in un materiale con memoria evanescente, in: S.I.M.A.I.- 2004 70 Congresso Nazionale di Matematica Applicata e Industriale, Abstracts, Consiglio Nazionale delle Ricerche, ISOLA SAN SERVOLO (VE), (2004);

[13] Carillo S., An Evolution Problem in a Material with Memory, in: Dissipative Models in Phase Transitions, CORTONA, (2004);

[14] Carillo S., Esistenza ed un unicità in problemi di evoluzione in materiali con memoria, in: Modelli Matematici per la Scienza dei Materiali: Incontro Scientifico, FERRARA, (2004);

[15] Carillo S., Materials with fading Memory: existence and uniqueness results in evolution problems, invited lecture in: Second International Conference of Applied Mathematics: Plovdiv, Bulgaria, August 12 - 17, (2005);

[16] Carillo S., Materials with Memory & Evolution Problems, in: in: S.I.M.A.I.- 2008 90 Congresso Nazionale di Matematica Applicata e Industriale, Abstracts, Consiglio Nazionale delle Ricerche, ROMA (2008);

[17] Carillo S., Integro-differential systems in magneto-viscoelasticity, in: in: S.I.M.A.I.- 2010 100 Congresso Nazionale di Matematica Applicata e Industriale, Abstracts, CAGLIARI (2010).

[18] Carillo S., Bäcklund transformations, Recursion Techniques and Noncommutative soliton solutions, in: UCCS M athematics Colloqium, Colorado Springs - February 28, (2011).
 
[19] Carillo S., Bäcklund Charts and Noncommutative Soliton Solutions, in: AMSSPolyU Joint Research Institute Symposium Backlund and Reciprocal Transformations in Modern Soliton Theory, Hong Kong, 24 –25 maggio, (2011).

[20] Carillo S., Equazioni non lineari di evoluzione in spazi di Banach e trasformazioni di Bäcklund, in: XIX Congresso U.M.I., Abstracts, Bologna, 12 –17 settembre, (2011).

[21] Carillo S., M. Lo Schiavo, C. Schiebold,  Bäcklund Charts: commutative versus non-commutative Equation Hierarchies,
 SIMAI 2014, Biannual  Congress, Abstracts, 235 (2014);
available also online

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