TY  - Type of reference 
TI  - [FORTHCOMING] Strongly damped wave equations with fractional diffusions: well-posedness and global attractors 
AU  - Le Tran Tinh 
AB  - 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]. 
DO  - TBA 
JF  - Advances in Pure and Applied Mathematics 
KW  - Fractional diffusions, the fractional Laplacian operators, the regional fractional Laplacian operators, fractional normal derivative, global attractor, Fractional diffusions, the fractional Laplacian operators, the regional fractional Laplacian operators, fractional normal derivative, global attractor,  
L1  -  
LA  - en 
PB  - ISTE OpenScience 
DA  - 2025/08/4 
SN  - 1869-6090 
TT  - [FORTHCOMING] Équations d’ondes fortement amorties avec diffusions fractionnaires 
UR  - https://www.openscience.fr/Strongly-damped-wave-equations-with-fractional-diffusions-well-posedness-and 
IS  - Forthcoming papers<br> 
VL  -  
ER  -