Asymptotic behavior for wave equations with space-dependent damping in a weighted energy class
Asymptotic behavior for wave equations with space-dependent damping in a weighted energy class
In this paper, we discuss diffusion phenomena for the wave equation with space-dependent damping. It is known that this phenomenon occurs in the constant damping case with initial data belonging to a suitable energy class. This paper clarifies that diffusion phenomenon also occurs when the damping is effective and space-dependent, …