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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 3
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Research Article

Exponential decay and blow-up results for a viscoelastic equation with variable sources

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Pages 782-799 | Received 11 Oct 2020, Accepted 28 Jul 2021, Published online: 11 Aug 2021
 

Abstract

This work deals with a class of nonlinear viscoelastic wave equations with strong damping and variable exponent sources. The main interest of this paper compared to many previous works in the literature is able to use the idea of potential well method to study both the finite time blow-up for solutions starting from the unstable sets and decay estimate for global solutions starting in the potential wells.

2010 MSC:

Disclosure statement

No potential conflict of interest was reported by the authors.

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