Blow-up phenomena for a semilinear parabolic equation with weighted inner absorption under nonlinear boundary flux

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• 作者：Lingwei Ma and Zhong Bo Fang
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：40
• 期：1
• 页码：115-128
• 全文大小：254K
• ISSN：1099-1476

文摘

Blow-up phenomena for a nonlinear divergence form parabolic equation with weighted inner absorption term are investigated under nonlinear boundary flux in a bounded star-shaped region. We assume some conditions on weight function and nonlinearities to guarantee that the solution exists globally or blows up at finite time. Moreover, by virtue of the modified differential inequality, upper and lower bounds for the blow-up time of the solution are derived in higher dimensional spaces. Three examples are presented to illustrate applications of our results. Copyright