Local large deviations for randomly forced nonlinear wave equations with
localized damping
Local large deviations for randomly forced nonlinear wave equations with
localized damping
We study the large deviation principle (LDP) for locally damped nonlinear wave equations perturbed by a bounded noise. When the noise is sufficiently non-degenerate, we establish the LDP for empirical distributions with lower bound of a local type. The primary challenge is the lack of compactness due to the absence …