Titre : [FORTHCOMING] Strongly damped wave equations with fractional diffusions: well-posedness and global attractors 

Auteurs : Le Tran Tinh,  

Revue : Advances in Pure and Applied Mathematics 

Numéro : Forthcoming papers<br> 

Volume :  

Date : 2025/08/4 

DOI : TBA 

ISSN : 1869-6090 

Résumé : This paper is concerned with the nonlinear strongly damped wave equations involving the fractional Laplacian and regional fractional Laplacian with various boundary conditions. We first prove the existence and uniqueness of weak solutions using the compactness method and weak convergence techniques in Orlicz spaces. Then we study the existence and regularity of global attractors of associated semigroups. The main novelty of the obtained results here is to improve and extend the previous results in [6, 7, A.N. Carvalho and J.W. Cholewa] and [24, J. Shomberg]. 

Éditeur : ISTE OpenScience