Holder Continuity for Solutions of Degenerate Parabolic Equation with Two Degenerate Points

数学季刊 ›› 1993, Vol. 8 ›› Issue (3): 13-23.

Holder Continuity for Solutions of Degenerate Parabolic Equation with Two Degenerate Points

Henan University,Henan University,Henan University 475001,475001,475001

收稿日期:1990-06-18 出版日期:1993-09-30 发布日期:2025-05-27

Holder Continuity for Solutions of Degenerate Parabolic Equation with Two Degenerate Points

Henan University,Henan University,Henan University 475001,475001,475001

Received:1990-06-18 Online:1993-09-30 Published:2025-05-27

摘要/Abstract

摘要： In this paper we discuss the quasilinear parabolic equationU■=▽(uu（1-u）β.Vu)+■（x,t.u）▽u+C（x,t,u）which is degenerate at u =0 and u=1.Let u（x,t）be a weak solution of the equation satisfying0<u（x,t）<1.Under some assumptions we establish H■lder continuity of u（x,t）.

刘建中, 李育生, 崔国忠. Holder Continuity for Solutions of Degenerate Parabolic Equation with Two Degenerate Points[J]. 数学季刊, 1993, 8(3): 13-23.

Liu Jian zhong, Li Yusheng, Cui Guozhong. Holder Continuity for Solutions of Degenerate Parabolic Equation with Two Degenerate Points[J]. Chinese Quarterly Journal of Mathematics, 1993, 8(3): 13-23.

Holder Continuity for Solutions of Degenerate Parabolic Equation with Two Degenerate Points

Holder Continuity for Solutions of Degenerate Parabolic Equation with Two Degenerate Points

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