Hyperbolic Anderson Model 2: Strichartz Estimates and Stratonovich Setting
Hyperbolic Anderson Model 2: Strichartz Estimates and Stratonovich Setting
Abstract We study a wave equation in dimension $d\in \{1,2\}$ with a multiplicative space-time Gaussian noise. The existence and uniqueness of the Stratonovich solution is obtained under some conditions imposed on the Gaussian noise. The strategy is to develop some Strichartz-type estimates for the wave kernel in weighted Besov spaces, …