Existence and Nonexistence of Global Solution for Quasilinear Parabolic Equation

数学季刊 ›› 1998, Vol. 13 ›› Issue (4): 87-93.

Existence and Nonexistence of Global Solution for Quasilinear Parabolic Equation

Department of Mathematics，Henan University，Kaifeng，475001; Pingdingshan Education College; Department of Applied Mathematics，Southeast University

收稿日期:1998-02-23 出版日期:1998-12-30 发布日期:2024-10-18

Existence and Nonexistence of Global Solution for Quasilinear Parabolic Equation

Department of Mathematics，Henan University，Kaifeng，475001; Pingdingshan Education College; Department of Applied Mathematics，Southeast University

Received:1998-02-23 Online:1998-12-30 Published:2024-10-18

摘要/Abstract

摘要： This paper deals with the existence and nonexistence of global positive solutions of the following quasilinear parabolic equations：... is a bounded domain with smooth boundary ∂●，m，n，p are positive constants，γ is the outward normal vector．The necessary and sufficient conditions for the global existence of solutions are obtained．

关键词: , quasilinear parabolic equations；nonlinear boundary conditions；existence of global solutions

Abstract: This paper deals with the existence and nonexistence of global positive solutions of the following quasilinear parabolic equations：... is a bounded domain with smooth boundary ∂●，m，n，p are positive constants，γ is the outward normal vector．The necessary and sufficient conditions for the global existence of solutions are obtained．

Key words: , quasilinear parabolic equations；nonlinear boundary conditions；existence of global solutions

中图分类号:

O175

宋锦萍, 胡月, 崔国忠. Existence and Nonexistence of Global Solution for Quasilinear Parabolic Equation[J]. 数学季刊, 1998, 13(4): 87-93.

Song Jinping, Hu Yue, Cui Guozhong. Existence and Nonexistence of Global Solution for Quasilinear Parabolic Equation[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(4): 87-93.

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Existence and Nonexistence of Global Solution for Quasilinear Parabolic Equation

Existence and Nonexistence of Global Solution for Quasilinear Parabolic Equation

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