Global existence and blow-up phenomena for nonlinear divergence form parabolic equations with inhomogeneous Neumann boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:385

Article

Li, Fushan¹  Li, Jinling¹ 

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

关键词: Divergence form;    Parabolic equation;    Inhomogeneous;    Global existence;    Blow-up;   

DOI  :  10.1016/j.jmaa.2011.07.018

来源: Elsevier

【 摘 要 】

In this paper, we consider nonlinear divergence form parabolic equations with inhomogeneous Neumann boundary conditions. We establish respectively the conditions on nonlinearities to guarantee that u(x, t) exists globally or blows up at some finite time. If blow-up occurs, we obtain upper and lower bounds of the blow-up time. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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