Robustness of Polynomial Stability of Damped Wave Equations
Robustness of Polynomial Stability of Damped Wave Equations
Abstract In this paper we present new results on the preservation of polynomial stability of damped wave equations under addition of perturbing terms. We in particular introduce sufficient conditions for the stability of perturbed two-dimensional wave equations on rectangular domains, a one-dimensional weakly damped Webster’s equation, and a wave equation …