Blow-up analysis for a reaction-diffusion equation with gradient absorption terms
Keyword(s):
Blow Up
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<abstract><p>This paper deals with the blow-up phenomena of solution to a reaction-diffusion equation with gradient absorption terms under nonlinear boundary flux. Based on the technique of modified differential inequality and comparison principle, we establish some conditions on nonlinearities to guarantee the solution exists globally or blows up at finite time. Moreover, some bounds for blow-up time are derived under appropriate measure in higher dimensional spaces $ \left({N \ge 2} \right). $</p></abstract>
2016 ◽
Vol 32
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pp. 338-354
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2017 ◽
Vol 21
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pp. 131-150
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2015 ◽
Vol 66
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pp. 2525-2541
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2014 ◽
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pp. 234
2005 ◽
Vol 48
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pp. 241-252
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