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ON THE GLOBAL EXISTENCE OF SOLUTIONS TO QUASILINEAR PARABOLIC EQUATIONS

Published online by Cambridge University Press:  15 January 2004

ZHAOYANG YIN
ZHAOYANG YIN
Affiliation:
Department of Mathematics, Zhongshan University, 510275 Guangzhou, China e-mail: mcsyzy@zsu.edu.cn Department of Mathematics, Lund University, PO Box 118, S-221 00 Lund, Sweden e-mail: yin@maths.lth.se
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Abstract

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We prove, under quite general assumptions, the global existence of classical solutions for quasilinear parabolic equations in bounded domains with homogeneous Dirichlet boundary conditions. The same results for weakly coupled reaction-diffusion systems are also given.

Keywords

35k5535K57
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 1 , January 2004 , pp. 155 - 160
Copyright
2004 Glasgow Mathematical Journal Trust

Footnotes

This work was partially supported by the National Natural Science Foundation of China, the Natural Science Foundation of Guangdong Province, and the Foundation of Zhongshan University Advanced Research Center.