SEMILINEAR DAMPED WAVE EQUATION IN LOCALLY UNIFORM SPACES

Abstract

We study a damped wave equation with a nonlinear damping in the locally uniform spaces and prove well-posedness and existence of a locally compact attractor. An upper bound on the Kolmogorov's epsilon-entropy is also established using the method of trajectories.

Keywords

• Damped wave equations
• nonlinear damping
• unbounded domains
• locally compact attractor
• Kolmogorov's entropy