Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (6): 832-838.

• Articles • Previous Articles     Next Articles

On Solutions of Quasilinear Degenerate Parabolic Equations

ZHAN Hua-Shui   

  • Online:2005-12-24 Published:2005-12-24
  • Supported by:

    福建省青年创新基金和集美大学科研基金资助

Abstract:

In this paper, the author  gives the definition of a new general solution for qu asilinear degenerate parabolic equation pa_t{u}+pa_x{f(u)}=pa_xx{A(u(x,t))}∈R^2_+×(0,+∞) , u(x,0)=u_0(x),x∈R  and get its existence by DivCurl Lemma.

Key words: Quasilinear degenerate parabolic equation;General solution;Div Curl Lemma

CLC Number: 

  • 35L65
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