Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition

Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition

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摘要 In this paper, we obtain the necessary and sufficient conditions on the global existence of all positive （weak） solutions to a nonlinear degenerate parabolic equation with nonlinear boundary condition. In this paper, we obtain the necessary and sufficient conditions on the global existence of all positive （weak） solutions to a nonlinear degenerate parabolic equation with nonlinear boundary condition.

作者 Wen Jun SUN Shu WANG

机构地区 LCP College of Applied Science

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第4期847-854,共8页 数学学报（英文版）

基金 supported by the NSFC(Grant No.10471009) BSFC(Grant No.1052001)

关键词 Nonlinear degenerate parabolic equation Global existence BLOW-UP Nonlinear degenerate parabolic equation, Global existence, Blow-up

分类号 O175.26 [理学—基础数学]

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1WANG Shu+ 1, 2, WANG Mingxin 3, XIE Chunhong 1 1. Department of Mathematics, Nanjing University, Nanjing 210093, China,2. Department of Mathematics, Henan University, Kaifeng 475001, China,3. Department of Applied Mathematics, Southeast University,.Parabolic equation of the m-Laplacian with nonlinear boundary condition[J].Chinese Science Bulletin,1998,43(11):905-908. 被引量：3

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Acta Mathematica Sinica,English Series

2005年第4期

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Nonlinear Degenerate Parabolic Equation with Nonlinear Boundary Condition

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