Existence and L1 norm decay of the solutions of a semilinear parabolic system;Existence et décroissance en norme L1 des solutions d'un système parabolique semi-linéaire

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

Volumn 329, Issue 5, 1999, Pages 367-370

  Amour, Laurent ^a   Raoux, Thierry ^a  

^a UNIVERSITÉ DE REIMS CHAMPAGNE ARDENNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033196558     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)88607-3     Document Type: Article

References (10)

1. [1] Amour L., Ben-Artzi M., Global existence and decay for viscous Hamilton-Jacobi equations, Nonlin. Anal. TMA 31 (1998) 621-628.
2. [2] Bates P.W., Containment for weakly parabolic systems, Houston J. Math. 11 (1985) 151-158.
3. [3] Ben-Artzi M, Goodman J., Levy A., Remarks on a nonlinear parabolic equation, Trans. Amer. Math. Soc. (to appear).
4. [4] Ben-Artzi M., Koch H., Decay of mass for a semilinear parabolic equation, Commun. Partial Differ. Eq. (to appear).
5. [5] Ben-Artzi M., Souplet Ph., Weissler F.B., Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire, C. R. Acad. Sci. Paris 329 Série I (1999) (to appear).
6. [6] Benachour S., Laurençot Ph., Global solutions to viscous Hamilton-Jacobi equations with irregular initial data, Preprint.
7. d, d ≥ 2, J. Funct. Anal. 144 (1997) 301-324.
8. q, Preprint.
9. q, J. Differ. Eq. (to appear).
10. [10] Weinberger H., Invariant sets for weakly coupled parabolic and elliptic systems, Rend. Mat. Univ. Roma VI (8) (1975) 71-103.