J. Nonl. Evol. Equ. Appl. 2020 (1), pp. 1-31, published on February 15, 2020:

Existence and uniqueness of the weak solution for the Moore-Gibson-Thompson equation with viscoelastic memory term and non-classical condition


D. Alaeddine

Ecole Normale Supérieure-Mostaganem, Algeria, and Laboratory of mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University, 12002 Tebessa, Algeria

Received on March 27, 2019
Accepted on November 29, 2019

Communicated by Alexander Pankov

Abstract.  This work deals with the existence and uniqueness of a nonlocal mixed boundary value problem for the Moore-Gibson-Thompson equation with viscoelastic memory term. Galerkin’s method was the main used tool for proving the existence of the given non local problem.
Keywords:Galerkin method, Exponential decay, Polynomial decay, viscoelastic.
2010 Mathematics Subject Classification:   35Q70; 35L05; 74D99, 35A07.

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