数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (4): 451-460.

• 论文 • 上一篇    下一篇

PARABOLIC EQUATIONS WITH BOTH NON-CONVEXITY NONLINEARITIES AND STRONG DEGENERACY

尹景学   

  1. Institute of Mathematics, Jilin University, Changchun 130023, China
  • 收稿日期:1992-06-30 修回日期:1993-02-05 出版日期:1994-12-25 发布日期:1994-12-25

PARABOLIC EQUATIONS WITH BOTH NON-CONVEXITY NONLINEARITIES AND STRONG DEGENERACY

Yin Jingxue   

  1. Institute of Mathematics, Jilin University, Changchun 130023, China
  • Received:1992-06-30 Revised:1993-02-05 Online:1994-12-25 Published:1994-12-25

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摘要： This paper is devoted to a strongly degenerate or singular quasilinear parabolic equation.We first extend Kalashnikov's ekistence results[6] to a general situation for the equation without convexity. As a supplementation, we also discuss the regularity and uniqueness of solutions.

Abstract: This paper is devoted to a strongly degenerate or singular quasilinear parabolic equation.We first extend Kalashnikov's ekistence results[6] to a general situation for the equation without convexity. As a supplementation, we also discuss the regularity and uniqueness of solutions.

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