Acta mathematica scientia,Series B

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SOME RESULTS ON A DEGENERATE AND SINGULAR DIFFUSION EQUATION

Yao Zheng'an; Zhou Wenshu   

  1. Department of Mathematics, Zhongshan University, Guangzhou 510275, China
    Department of Mathematics, Jilin University, Changchun 130012, China
  • Received:2004-12-14 Revised:1900-01-01 Online:2007-07-20 Published:2007-07-20
  • Contact: Zhou Wenshu

Abstract:

In this article, a degenerate and singular diffusion problem is studied. The
existence of solutions is established by parabolic regularization. Some properties of solutions, for instance, asymptotic behavior, are also discussed.

Key words: Degenerate and singular diffusion equation, weak solution, existence,
asymptotic behavior

CLC Number: 

  • 35K10
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