Articles

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

  • Zhao Yanyan ,
  • Chen Zuchi
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  • Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received date: 2003-11-17

  Revised date: 2004-05-24

  Online 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.

Cite this article

Zhao Yanyan , Chen Zuchi . THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS IN ANISOTROPIC SOBOLEV SPACES[J]. Acta mathematica scientia, Series B, 2006 , 26(2) : 255 -264 . DOI: 10.1016/S0252-9602(06)60047-7

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