Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (2): 251-264.doi: 10.1016/S0252-9602(09)60026-6

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EXISTENCE AND UNIQUENESS OF RENORMALIZED SOLUTIONS FOR A CLASS OF DEGENERATE PARABOLIC EQUATIONS

ZHANG Li-Qin, DIAO Dun-Ning   

  1. Department of Mathematics, Xiamen University of Technology, Xiamen 361005, China Department of Mathematics, Xiamen University, Xiamen 361005, China
  • Received:2006-06-22 Revised:2006-11-01 Online:2009-03-20 Published:2009-03-20
  • Supported by:

    Partially supported by Science Foundation of Xiamen University of Technology (YKJ08020R)

Abstract:

This article discusses the existence and uniqueness of renormalized solutions for a class of degenerate parabolic equations b(u)t − div(a(u,∇u)) = H(u)(f + divg).

Key words: Renormalized solutions, degenerate parabolic equations

CLC Number: 

  • 35K53
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