Convergence to steady states or periodic solutions in a class of Hamilton-Jacobi equations

Journal des Mathematiques Pures et Appliquees

Volumn 80, Issue 1, 2001, Pages 85-104

  Roquejoffre, Jean Michel ^a  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

Aubry Mather sets; Hamilton Jacobi equations; Relaxed semi limits

Indexed keywords

EID: 0035216389     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(00)01183-1     Document Type: Article

References (12)

1. G. Barles, Solutions de viscosité d'équations de Hamilton-Jacobi, MathéMatiques Et Applications, Vol. 17, Springer-Verlag.
2. G. Barles and B. Perthame, Discontinuous solutions of deterministic optimal stopping time problems, M2AN 21 (1987) 557-579.
3. G. Barles and P.E. Souganidis, On the large time behaviour of solutions of Hamilton-Jacobi equations, to appear in SIAM J. Math. Anal.
4. A. Fathi, Théorème KAM faible et théorie de mather pour les systèmes lagrangiens, C. R. Acad. Sci. Paris SéR. I 324 (1997) 1043-1046.
5. A. Fathi, Sur la convergence du semi-groupe de lax-oleinik, C. R. Acad. Sci. Paris SéR. I 327 (1998) 267-270.
6. A. Fathi, ENS Lyon Lecture Notes On Lagrangian Systems.
7. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag, New York, 1983.
8. P.-L. Lions, Generalized Solutions of Hamilton-Jacobi Equations, Research Notes in Mathematics, Pitman.
9. P.-L. Lions, G. Papanicolaou and S.R.S. Varadhan, Homogenization of Hamilton-Jacobi Equations, Preprint.
10. G. Namah and J.-M. Roquejoffre, Remarks on the time-asymptotic behaviour of the solutions of Hamilton-Jacobi equations, Comm. Partial Differential Equations 24 (1999) 883-893.
11. M. Pierre and E. Rouy, A tridimensional inverse shaping problem, Comm. Partial Differential Equations 21 (1996) 1279-1305.
12. J.-M. Roquejoffre, Comportement asymptotique des solutions d'équations de Hamilton-Jacobi monodiniensionnelles, C. R. Acad. Sci. Paris SéR. I 326 (1998) 185-189.