Acta mathematica scientia,Series B

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THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES

Zhao Yanyan; Chen Zuchi   

  1. Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
  • Received:2003-11-17 Revised:2004-05-24 Online:2006-04-20 Published:2006-04-20

Abstract:

This article concerns the existence of weak solutions of the first boundary value problem for a kind of strongly degenerate quasilinear parabolic equation in the anisotropic Sobolev Space. With the theory of anisotropic
Sobolev spaces an existence result is proved.

Key words: Weak solution, strongly degenerate, quasilinear parabolic equation

CLC Number: 

  • 35K55
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