GLOBAL EXISTENCE AND \(L^\infty\) ESTIMATES OF SOLUTIONS FOR A QUASILINEAR PARABOLIC SYSTEM
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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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ISRP Style
JUN ZHOU, GLOBAL EXISTENCE AND \(L^\infty\) ESTIMATES OF SOLUTIONS FOR A QUASILINEAR PARABOLIC SYSTEM, Journal of Nonlinear Sciences and Applications, 3 (2010), no. 4, 245-255
AMA Style
ZHOU JUN, GLOBAL EXISTENCE AND \(L^\infty\) ESTIMATES OF SOLUTIONS FOR A QUASILINEAR PARABOLIC SYSTEM. J. Nonlinear Sci. Appl. (2010); 3(4):245-255
Chicago/Turabian Style
ZHOU, JUN. "GLOBAL EXISTENCE AND \(L^\infty\) ESTIMATES OF SOLUTIONS FOR A QUASILINEAR PARABOLIC SYSTEM." Journal of Nonlinear Sciences and Applications, 3, no. 4 (2010): 245-255
Keywords
- Global existence
- quasilinear parabolic system
- \(L^\infty\) estimates and decay estimates.
MSC
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