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A blow-up result for nonlinear generalized heat equation
Journal article   Open access  Peer reviewed

A blow-up result for nonlinear generalized heat equation

M. Kbiri Alaoui, S. A. Messaoudi and H. B. Khenous
Computers & mathematics with applications (1987), Vol.68(12), pp.1723-1732
01/12/2014
DOI: https://doi.org/10.1016/j.camwa.2014.10.018

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we consider a nonlinear heat equation with nonlinearities of variableexponent type. We show that any solution with nontrivial initial datum blows up in finite time. We also give a two-dimension numerical example to illustrate our result. (C) 2014 Elsevier Ltd. All rights reserved.
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https://doi.org/10.1016/j.camwa.2014.10.018View
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