Ricerca

Curriculum (esteso - breve)

• Laurea  in Mathematica con lode, Universita' di Bari, 16 Dicembre 1999
• Ph.D. in Matematica, S.I.S.S.A.-I.S.A.S., Settore di Analisi Funzionale e Applicazioni, Ottobre 2003
• Postdoc, Centre of Mathematics for Applications (C.M.A.)-University of Oslo (Norvegia) Novembre 2003-Dicembre 2004
• Ricercatore di Analsisi Matematica, Universita' di Bari, da Gennaio 2005.
• Ha ottenuto l'idoneità a Professore di II fascia (Professore Associato) del settore disciplinare MAT/05 (Analisi Matematica) in una Valutazione Comparativa presso l'Università degli Studi di Roma ``La Sapienza'' (Luglio 2010).

Interessi di Ricerca

• Equazione di Schrödinger.
• Controllabilita' al bordo per Sistemi di Leggi di Conservazione.
• Modelli di Traffico.
• Equazioni Paraboliche.
• Leggi di conservazione con flussi discontinui.
• Equazioni di Hamilton-Jacobi con Hamiltoniane discontinue.
• Equazioni Integro-differenziali.
• Schemi numerici per equazioni iperboliche.
• Equazioni integrali di Hammerstein con integrando dipendente dal reciproco.
   

L’articolo “G. M. Coclite and K. H. Karlsen, On the well-posedness of the Degasperis-Procesi equation, J. Funct. Anal. 233 (2006) no. 1, 60-91.” nel 2009 e' tra i 10 articoli piu' citati tra quelli pubblicati negli ultimi 5 anni dal Journal of Functional Analysis.
 

Pubblicazioni (pdf)

 
Tesi

1. G. M. Coclite, Metodi Variazionali Applicati al lo Studio del le Equazioni di Schrodinger-Maxwell, graduate thesis, University of Bari (1999), supervisors: Proff. D. Fortunato, M. Lazzo.
2. G. M. Coclite, Control Problems for Systems of Conservation Laws, Ph.D. thesis, S.I.S.S.A.- Trieste (2003), supervisor: Prof. A. Bressan, opponent: Prof. J.-M. Coron.

Articoli

1. G. M. Coclite, A Multiplicity Result for the Nonlinear Schrodinger-Maxwell Equations, Commun. Appl. Anal. 7 (2003) no. 2-3, 417-423.
2. G. M. Coclite, A Multiplicity Result for the Schrodinger-Maxwell Equations with Negative Potential, Ann. Polon. Math. 79 (2002), 21-30.
3. A. Bressan and G. M. Coclite, On the Boundary Control of Systems of Conservation Laws, SIAM J. Control Optim. 41 (2002), no. 2, 607-622.
4. F. Ancona and G. M. Coclite, On the Attainable set for Temple Class Systems with Boundary Controls, SIAM J. Control Optim. 43 (2005), no. 6, 2166-2190.
5. G. M. Coclite and V. Georgiev, Solitary Waves for Maxwell-Schrodinger Equations, Electron. J. Diff. Eqns. 2004 (2004), no. 94, 1-31.
6. G. M. Coclite, M. Garavello, and B. Piccoli, Traffic Flow on a Road Network, SIAM J. Math. Anal. 36 (2005), no. 6, 1862-1886.
7. F. Ancona, A. Bressan, and G. M. Coclite, Some Results on the Boundary Control of Systems of Conservation Laws, Hyperbolic problems: theory, numerics, applications, (Pasadena, 2002), Eds: T. Y. Hou, E. Tadmor, 255-264, Springer, Berlin, 2003.
8. G. M. Coclite, An Interior Estimate for a Nonlinear Parabolic Equation, J. Math. Anal. Appl.  284 (2003) no. 1, 49-63.
9. G. M. Coclite and N. H. Risebro, Conservation Laws with Time Dependent Discontinuous Coefficients, SIAM J. Math. Anal. 36 (2005), no. 4, 1293-1309.
10. G. M. Coclite and N. H. Risebro, Viscosity Solutions of Hamilton-Jacobi Equations with Discontinuous Coefficients, J. Hyperbolic Differ. Equ. 4 (2007), no. 4, 771-795.
11. G. M. Coclite and H. Holden, Stability of Solutions of Quasilinear Parabolic Equations, J.
    Math. Anal. Appl. 308 (2005) no. 1, 221-239.
12. F. Ancona and G. M. Coclite, Exact control lability and stabilizability of linear hyperbolic systems with boundary controls, in preparation.
13. G. M. Coclite, H. Holden, and K. H. Karlsen, Wel lposedness for a parabolic-elliptic system, Discrete Contin. Dynam. Systems 13 (2005) no. 3, 659-682. 
14. G. M. Coclite, H. Holden, and K. H. Karlsen, Global weak solutions to a generalized hyperelastic-rod wave equation, SIAM J. Math. Anal. 37 (2005) no. 4, 1044-1069.
15. G. M. Coclite and M. M. Coclite, Positive solutions for an integro-differential equation with singular nonlinear term, Differential Integral Equations 18 (2005) no. 9, 1055-1080.
16. F. Ancona and G. M. Coclite, On the boundary control lability of first order hyperbolic systems, Nonlinear Anal. 63 (2005) no. 5-7, 1955-1966.
17. G. M. Coclite, Problemi di Controllo per Sistemi di Leggi di Conservazione, Boll. U.M.I. Sez. A., Serie VIII, Vol. VII-A, Dicembre 2004, 471-474.
18. G. M. Coclite and K. H. Karlsen, A singular limit problem for conservation laws related to the Camassa-Holm shallow water equation, Commun. Partial Differ. Equations. 31 (2006) no. 8, 1253 - 1272.
19. G. M. Coclite and K. H. Karlsen, On the well-posedness of the Degasperis-Procesi equation, J. Funct. Anal. 233 (2006) no. 1, 60-91.
20. G. M. Coclite and K. H. Karlsen, A Semigroup of Solutions for the Degasperis-Procesi Equation, “WASCOM 2005”—13th Conference on Waves and Stability in Continuous Media, 128– 133, World Sci. Publ., Hackensack, NJ, 2006. 
21. M. Bendahmane, G. M. Coclite, and K. H. Karlsen,  H^1−perturbations of smooth solutions for a weakly dissipative hyperelastic-rod wave equation, Mediterr. J. Math. 3 (2006) no. 3-4, 417-430.
22. G. M. Coclite and K. H. Karlsen, On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation, J. Differential Equations. 234 (2007) no. 1, 142-160.
23. G. M. Coclite and H. Holden, The Schrodinger–Maxwell system with Dirac mass, Ann. Inst. H. Poincaŕe Anal. Non Lineaire 24 (2007) no. 5, 773-793.
24. G. M. Coclite and M. M. Coclite, Elliptic Perturbations for Hammerstein Equations with Singular Nonlinear Term, Electron. J. Diff. Eqns. 2006 (2006) no. 104, 1-23.
25. G. M. Coclite, K. H. Karlsen, and N. H. Risebro, Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation, IMA J. Numer. Anal. 28 (2008) no. 1, 80-105.
26. G. M. Coclite, H. Holden, and K. H. Karlsen, Global Weak Solutions for a Shallow Water Equation, Hyperbolic problems: theory, numerics, applications, (Lyon, 2006), Eds: S. Benzoni-Gavage, D. Serre, 389-398, Springer, Berlin, 2008. 
27. G. M. Coclite, K. H. Karlsen, and N. H. Risebro, A convergent finite difference scheme for the Camassa-Holm equation with general H^1 initial data,  SIAM J. Numer. Anal. 46 (2008) no. 3, 1554-1579.
28. G. M. Coclite, H. Holden, and K. H. Karlsen, Well-posedness of higher-order Camassa– Holm equations, J. Differential Equations, 246 (2009) no. 3, 929-963.
29. G. M. Coclite and M. M. Coclite, Positive solutions for an integro-differential equation in all space with singular nonlinear term, Discrete Contin. Dynam. Systems 22 (2008) no. 4, 885-907.
30. G. M. Coclite and K. H. Karlsen, Discontinuous solutions for the Degasperis-Procesi equation, Symmetry and Perturbation Theory, (Otranto (Italy), 2007), Eds: G. Gaeta, R. Vitolo, S. Walcher, 247-248, World Sci. Publ., Hackensack, NJ, 2008.  
31. G. M. Coclite, G. R. Goldstein, and J. A. Goldstein, Stability Estimates for Parabolic Problems with Wentzell boundary conditions, J. Differential Equations, 245 (2008) no. 9, 2595-2626.
32. G. M. Coclite, A. Favini, G. R. Goldstein, J. A. Goldstein, and S. Romanelli, Continuous dependence on the boundary conditions for the Wentzell  Laplacian, Semigroup Forum 77 (2008) no. 1, 101-108.
33. G. M. Coclite and K. H. Karlsen, Bounded solutions for the Degasperis-Procesi equation, Boll. Unione Mat. Ital. (9) 1 (2008) no. 2, 439-453.
34. G. M. Coclite, K. H. Karlsen, and N. H. Risebro, An explicit finite difference scheme for the Camassa-Holm equation, Adv. Differ. Equ. 13 (2008) no. 7-8, 681-732.
35. G. M. Coclite and H. Holden, Erratum: The Schrodinger–Maxwell system with Dirac mass,  Ann. Inst. H. Poincare Anal. Non Lineaire 25 (2008) no. 4, 833-836.
36. G. M. Coclite, A Favini, C. G. Gal, G. R. Goldstein, J. A. Goldstein, E. Obrecht, and S. Romanelli, The Role of Wentzell Boundary Conditions in Linear and Nonlinear Analysis, In: S. Sivasundaran. Advances in Nonlinear Analysis: Theory, Methods and Applications. vol. 3, p. 279-292, Cambridge Scientific Publishers Ltd., Cambridge 2009
37. G. M. Coclite, G. R. Goldstein, and J. A. Goldstein, Stability of Parabolic Problems with nonlinear Wentzell boundary conditions, J. Differential Equations 246 (2009) no. 6,  2434-2447.
38. G. M. Coclite and H. Holden, Ground States of the Schrodinger–Maxwell system with Dirac mass: Existence and Asymptotics, Discrete Contin. Dynam. Systems 27 (2010) no. 1, 117-132.
39. G. M. Coclite, K. H. Karlsen, S. Mishra, and N. H. Risebro, Convergence of vanishing viscosity approximations of 2x2 triangular systems of multi-dimensional conservation laws, Boll. Unione Mat. Ital. (9) 2 (2009) no. 2, 275-284.
40. G. M. Coclite, S. Mishra, and N. H. Risebro, Convergence of an Engquist Osher scheme for a multidimensional triangular system of  conservation laws, Math. Comp. 79 (2010), 71-94.
41. G. M. Coclite, K. H. Karlsen, and Y.-S. Kwon, Initial-boundary value problems for  conservation laws with source terms and the Degasperis-Procesi equation, J. Funct. Anal. 257 (2009) no. 12, 3823-3857.
42. G. M. Coclite and M. M. Coclite, Stationary solutions for conservation laws with singular nonlocal sources, J. Differential Equations  248 (2010) no. 2, 229-251.
43. G. M. Coclite, G. R. Goldstein, and J. A.  Goldstein, Wellposedness of Nonlinear  Parabolic Problems with nonlinear Wentzell boundary conditions, Adv. Differ. Equ. 16 (2011) no. 9-10, 895-916.
44. G. M. Coclite and M. Garavello, Vanishing Viscosity for Traffic on Networks, to appear on SIAM J. Math. Anal. 42 (2010) no. 4, 1761-1783.
45. G. M. Coclite and M. M. Coclite, Conservation laws with singular nonlocal sources, J. Differential Equations 250 (2011) no. 10, 3831-3858.
46. G. M. Coclite and K. H. Karlsen, On an initial-boundary value problem for the hyperelastic rod wave equation, Adv. Differ. Equ. 17 (2012) no. 1-2, 37-74.
47. G. M. Coclite and K. H. Karlsen, Hamiltonian Approximation of Entropy Solutions of the Burgers Equation, to appear on Proceedings HYP2010.
48. D. Amadori and G. M. Coclite, A Note on Positive Solutions for Conservation Laws with Singular Source, to appear on Proc. Amer. Math. Soc.
49. G. M. Coclite, K. H. Karlsen, S. Mishra, and N. H. Risebro. A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions, Int. J. Numer. Anal. Model. 9 (2012) no.3, 562-583.
50. G. M. Coclite and M. M. Coclite, On a Dirichlet problem in bounded domains with singular nonlinearity, to appear on Discrete Contin. Dynam. Systems.
51. G. M. Coclite, G. R. Goldstein, and J. A.  Goldstein, Stability Estimates for Nonlinear Hyperbolic Problems with nonlinear Wentzell boundary conditions, submitted.
52. A. Bressan, G. M. Coclite, and W. Shen. A Multi-dimensional Optimal Harvesting Problem with Measure Valued Solutions. Submitted.
53. G. M. Coclite, F. Gargano, and V. Sciacca. Analytic solutions and Singularity formation for the Peakon b-Family equations. To appear on Acta Appl. Math.