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ON THE GLOBAL EXISTENCE OF SOLUTIONS TO QUASILINEAR PARABOLIC EQUATIONS WITH HOMOGENEOUS NEUMANN BOUNDARY CONDITIONS

Published online by Cambridge University Press:  27 July 2005

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 Neumann boundary conditions.

Keywords

35K55
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 2 , May 2005 , pp. 237 - 248
Copyright
2005 Glasgow Mathematical Journal Trust