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. | |