TY - JOUR AU - ZHOU, JUN PY - 2010 TI - GLOBAL EXISTENCE AND \(L^\infty\) ESTIMATES OF SOLUTIONS FOR A QUASILINEAR PARABOLIC SYSTEM JO - Journal of Nonlinear Sciences and Applications SP - 245-255 VL - 3 IS - 4 AB - 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 ­ \(\Omega\subset R^N\). SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.003.04.02 DO - 10.22436/jnsa.003.04.02 ID - ZHOU2010 ER -