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Existence and Blow up studies of a p(x)-Laplacian parabolic equation with memory
  • LAKSHMIPRIYA NARAYANAN,
  • Gnanavel Soundararajan
LAKSHMIPRIYA NARAYANAN
Central University of Kerala

Corresponding Author:lakshmipriya993@gmail.com

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Gnanavel Soundararajan
Central University of Kerala
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Abstract

In this paper, we establish existence and finite time blow up of weak solutions of a parabolic equation of p(x)-Laplacian type with the Dirichlet boundary condition. Moreover, we obtain upper and lower bounds for the blow up time of solutions, by employing concavity method and differential inequality technique respectively.

Peer review status:Published

06 Oct 2020Submitted to Mathematical Methods in the Applied Sciences
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07 Oct 2020Submission Checks Completed
07 Oct 2020Assigned to Editor
12 Oct 2020Reviewer(s) Assigned
24 Nov 2020Review(s) Completed, Editorial Evaluation Pending
25 Nov 2020Editorial Decision: Revise Minor
06 Dec 20201st Revision Received
06 Dec 2020Submission Checks Completed
06 Dec 2020Assigned to Editor
07 Dec 2020Review(s) Completed, Editorial Evaluation Pending
08 Dec 2020Editorial Decision: Accept
30 Sep 2022Published in Mathematical Methods in the Applied Sciences volume 45 issue 14 on pages 8412-8429. 10.1002/mma.7144