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EXISTENCE　AND　NONEXISTENCE　OF　GLOBAL　SOLUTION　OF　NONLINEAR　PARABOLIC　EQUATION　WITH　NONLINEAR　BOUNDARY　CONDITION 被引量：4

EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTION OF NONLINEAR PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITION
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摘要 This paper deals with the existence and nonexistence of global positive solution of the following equation:where p, q, m, α are parameters with is a bounded domain with Ω smooth enough, The necessary and sufficient conditions for the global existence of solution are obtained.
作者 WuYONGHUI WANGMINGXIN
机构地区 InstituteofSystemsScience InstituteofAppliedMathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第3期371-378,共8页 数学年刊（B辑英文版）
关键词 Nonlinear parabolic equiation Nonlinear boundary condition EXISTENCE Blow-up Subsolution and supersolution. 存在性 全局解 非线性 抛物型偏微分方程 边界条件
分类号 O175.29 [理学—基础数学]
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同被引文献13

  • 1XIA Li, YAO Zheng-an. Existence, uniqueness and as-ymptotic behavior of solutions for a singular parabolic e-quation[J]. J Math Anal Appl, 2009, (358): 182-188.
  • 2ZHOU Wen-shu, LEI Pei-dong. A one-dimensioal non- linenar heat equation with a singular term[J]. J Math A- nal Appl, 2010, (368) : 711-726.
  • 3GUO Jong-shenq, Souplet, Phillipe. Fast rate of forma-tion of dead-core for the heat equation with strong absorp-tion and applications to fast blow-up [J]. Math Ann,2005, (331) : 651-667.
  • 4SALIN, TINO. Quenching and blowup problems for reac-tion diffusion equations [D]. Helsinki: Helsinki UnivTechn Inst Math, 2004.
  • 5LADYZENSKAJA 0 A, SOLONNIKOV V A, URALCEVAN N. Linear and Quasi-linear equations of Parabolic Type[M]. New York: Transl Math Mono, 23 AMS, provi- dence RI, 1968.
  • 6AMANN, HERBERT. Periodic solutions of semilinearparabolic equations [C]//Nonlinear Analysis: A Collec-tion of Papers in Honor of Erich Rothe. New York: Aca-demie Press, 1978 : 1-29.
  • 7XIA Li, YAO Zheng-an. Existence, uniqueness and asymptotic behavior of solutions for a singular paraboiic equation[J]. J Math Anal Appl, 2009, 358(1): 182-188.
  • 8ZHOU Wen-shu, LEI Pei-dong. A one-dimensional nonlinear heat equation with a singular term[J]. J Math Anal Appl, 2010, 368(2): 711-726.
  • 9Guo Jong-shenq, SOUPLET P. Fast rate of forma- tion of dead-core for the heat equation with strong absorption and applications to fast blow-up[J], Math Ann, 2005, 331(3): 651-667.
  • 10SALIN T, Quenching and blowup problems for re- action diffusion equations[D]. Espo0: Department of Engineering Physics and Mathematics, Helsinki University of Technology, 2004.

引证文献4

二级引证文献10

Chinese Annals of Mathematics,Series B
1995年 第3期

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