Remark on global attractor for damped wave equation on R 3 $\mathbb{R}^{3}$

Abstract

This paper is concerned with the long-time behavior of solutions to the weakly damped wave equation with lower regular forcing defined on the entire space R 3 . The existence of a global attractor inis proven. Moreover, under some additional condition, the translational regularity of the attractor is established. MSC: 35B40; 35B41