Weak Input to state estimates for 2D damped wave equations with localized and non-linear damping
Weak Input to state estimates for 2D damped wave equations with localized and non-linear damping
In this paper, we study input-to-state (ISS) issues for damped wave equations with Dirichlet boundary conditions on a bounded domain of dimension two. The damping term is assumed to be non-linear and localized to an open subset of the domain. In a first step, we handle the undisturbed case as …