Geodesic
GLOBAL EXISTENCE AND $L^\infty$ ESTIMATES OF SOLUTIONS FOR A QUASILINEAR PARABOLIC SYSTEM
ZHOU, JUN1
1 School of mathematics and statistics, Southwest University, Chongqing, 400715, P. R. China
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 4, p. 245-255.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we study the global existence, $L^\infty$ estimates and decay estimates of solutions for the quasilinear parabolic system $u_t = \nabla .(\mid\nabla u\mid^m\nabla u)+f(u, v), v_t = \nabla . (\mid \nabla v\mid^n\nabla v)+g(u, v)$ with zero Dirichlet boundary condition in a bounded domain ­ $\Omega\subset R^N$.
DOI : 10.22436/jnsa.003.04.02
Classification : 35K55, 35K57
Keywords: Global existence, quasilinear parabolic system, \(L^\infty\) estimates and decay estimates.

ZHOU, JUN 1

1 School of mathematics and statistics, Southwest University, Chongqing, 400715, P. R. China 
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ZHOU, JUN. GLOBAL EXISTENCE AND \(L^\infty\)  ESTIMATES OF SOLUTIONS FOR A QUASILINEAR PARABOLIC SYSTEM. Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 4, p. 245-255. doi : 10.22436/jnsa.003.04.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.04.02/

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