GLOBAL EXISTENCE AND \(L^\infty\) ESTIMATES OF SOLUTIONS FOR A QUASILINEAR PARABOLIC SYSTEM


Authors

JUN ZHOU - School of mathematics and statistics, Southwest University, Chongqing, 400715, P. R. China.


Abstract

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 ­ \(\Omega\subset R^N\).


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