Blow‐up phenomena for a semilinear parabolic equation with weighted inner absorption under nonlinear boundary flux |
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| Authors: | Lingwei Ma Zhong Bo Fang |
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| Affiliation: | School of Mathematical Sciences, Ocean University of China, Qingdao, China |
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| Abstract: | 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 © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | semilinear parabolic equation weighted absorption blow‐up time upper bound lower bound |
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