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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 9
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Articles

Blow-up in a semilinear parabolic problem with variable source under positive initial energy

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Pages 1888-1896 | Received 20 Apr 2014, Accepted 18 Aug 2014, Published online: 13 Oct 2014
 

Abstract

In this paper, we consider a class of semilinear parabolic equations with variable source under homogeneous Dirichlet boundary conditions in a bounded domain with smooth boundary and For all we prove that the classical solutions to the above equation blow-up in finite time with arbitrary positive initial energy and suitable large initial values. This result extends a recent result by Wu et al. [Appl. Math. Lett. 2013;26:539–543] which asserts the blow-up of solutions for , provided that

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Acknowledgements

The authors would like to thank the anonymous referees for their careful reading and valuable suggestions on this article.

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