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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 18
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Research Article

Blow-up time analysis of parabolic equations with variable nonlinearities

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Pages 5082-5102 | Received 11 Jun 2022, Accepted 01 Dec 2022, Published online: 22 Dec 2022
 

Abstract

The blow-up of a class of nondegenerate parabolic equations in a bounded domain will be considered in the sense that the nonnegative diffusion coefficient a(x,t) allowed us to discuss our blow-up results differently. We prove blow-up results and give a new lower and upper bounds of the blow-up time to a class of semilinear reaction-diffusion equations and a nonlinear equation governed by the m(x,t)-Laplacian, for m(x,t)>1.

2010 Mathematics Subject Classifications:

Acknowledgments

The authors would like to thank the anonymous referees and the handling editor for their reading and relevant remarks/suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).

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