Long-time behaviour of the solutions of one-dimensional nonlinear Hamilton-Jacobi equations;Comportement asymptotique des solutions d'équations de Hamilton-Jacobi monodimensionnelles

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 2, 1998, Pages 185-189

  Roquejoffre, Jean Michel ^a  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031625394     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(97)89468-2     Document Type: Article

References (6)

1. [1] Barles G., Solutions de viscosité pour les équations de Hamilton Jacobi. Mathématiques et Applications 17. Springer-Verlag.
2. [2] Dafermos C.M., Trend to steady state in a conservation law with spatial inhomogeneity, Quart. Appl. Math. 45 (2) (1987) 313-319.
3. [3] Jensen R., Souganidis P.E., A regularity result for viscosity solutions of Hamilton-Jacobi equations in one space dimension. Trans. Amer. Math. Soc. 301 (1987) 137-147
4. [4] Lions P.-L., Generalized solutions of Hamilton-Jacobi Equations. Research Notes in Mathematics. Pitman.
5. [5] Lions P.-L., Papanicolaou G., Varadhan S.R.S., Homogenization of Hamilton-Jacobi equations, prépublication.
6. [6] Namah G., Roquejoffre J.-M., Remarks on the long-time behaviour of the solutions of Hamilton-Jacobi equations, à paraître.