Long-time behaviour of the solutions of a class of nonlinear parabolic and Hamilton-Jacobi equations;Comportement asymptotique des solutions d'une classe d'équations paraboliques et de Hamilton-Jacobi

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

Volumn 324, Issue 12, 1997, Pages 1367-1370

  Namah, Gawtum ^a   Roquejoffre, Jean Michel ^b  

^a UNIVERSITÉ BORDEAUX 1   (France)

^b INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031161435     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(97)83576-8     Document Type: Article

References (7)

1. [1] Berestycki H. et Nirenberg L., 1990. Some qualitative properties of solutions of semilinear equations in cylindrical domains, Analysis et Cetera. Rabinowitz et Zehnder eds., Academic Press, N-Y, p. 115-164.
2. [2] Brauner C.-M., Namah G. et Roquejoffre J.-M. à paraître.
3. [3] Dafermos C. M., 1987. Trend to steady state in a conservation law with spatial inhomogeneity, Quart. Appl. Math., Vol. 45, n. 2, p. 313-319.
4. [4] Dancer N. et Hess P., 1991. Stability of fixed points for strongly order-preserving discrete-time dynamical systems, J. Reine Angew. Math., 419, p. 125-139.
5. [5] Lions P.-L. Generalized solutions of Hamilton-Jacobi Equations, Research Notes in Math., Pitman.
6. [6] Namah G. et Roquejoffre J.-M. Convergence to periodic fronts in a class of parabolic equations, à paraître.
7. [7] Namah G. et Roquejoffre J.-M. Remarks on the long-time behaviour of the solutions of Hamilton-Jacobi equations, à paraître.