数学物理学报(英文版) ›› 1990, Vol. 10 ›› Issue (1): 71-78.

• 论文 • 上一篇    下一篇

THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS

陈祖墀   

  1. Dept. of Math., Univ. of Sci. & Tech. of China, Hefei, China
  • 收稿日期:1988-05-16 出版日期:1990-03-25 发布日期:1990-03-25
  • 基金资助:
    Project supported by National Natural Foundation of China.

THE FIRST BOUNDARY VALUE PROBLEM FOR STRONGLY DEGENERATE QUASILINEAR PARABOLIC EQUATIONS

Chen Zuchi   

  1. Dept. of Math., Univ. of Sci. & Tech. of China, Hefei, China
  • Received:1988-05-16 Online:1990-03-25 Published:1990-03-25
  • Supported by:
    Project supported by National Natural Foundation of China.

摘要: This paper concerns with existence of generalized solutions of first boundary value problem for a kind of strongly degenerate quasilinear parabolic equations. The author assumes that the coefficients in the equation satisfy strongly degenerate monotone condition and other weakened conditions comparing with those of Ladyzenskaja's. An existence theorem is given and proved.

Abstract: This paper concerns with existence of generalized solutions of first boundary value problem for a kind of strongly degenerate quasilinear parabolic equations. The author assumes that the coefficients in the equation satisfy strongly degenerate monotone condition and other weakened conditions comparing with those of Ladyzenskaja's. An existence theorem is given and proved.