Existence of C1, 1 critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds

Annales Scientifiques de l'Ecole Normale Superieure

Volumn 40, Issue 3, 2007, Pages 445-452

  Bernard, Patrick ^a  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548859257     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ansens.2007.01.004     Document Type: Article

References (8)

1. Bernard P., The dynamics of pseudographs in convex Hamiltonian systems, J. Am. Math. Soc., in press
2. Cannarsa P., and Sinestrari C. Semiconcave Functions, Hamilton-Jacobi Equations and Optimal Control. Progress in Nonlinear Differential Equations and Their Applications (2004), Birkhäuser
3. Contreras G., Iturriaga R., Paternain G.P., and Paternain M. Lagrangian graphs, minimizing measures and Mañé's critical values. Geom. Funct. Anal. 8 5 (1998) 788-809
4. Fathi A., Weak KAM Theorem in Lagrangian Dynamics, book in press
5. 1 critical sub-solutions of the Hamilton-Jacobi equation. Invent. Math. 155 2 (2004) 363-388
6. Fathi A., and Siconolfi A. PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians. Calc. Var. Partial Differential Equations 22 (2005) 185-228
7. Lasry J.M., and Lions J.L. A remark on regularization in Hilbert spaces. Israel J. Math. 55 3 (1986) 257-266
8. Massart D., Sub-solutions of time-periodic Hamilton-Jacobi equations, Ergodic Theory Dynam. Systems, in press