The support of the solution to a hyperbolic SPDE
We prove Stroock-Varadhan type theorems for the topological support of a hyperbolic stochastic partial differential equation in the \(\alpha\)- Hölder norm, for \(\alpha \in (0,{1 \over 2})\). Our approach is based on absolutely continuous transformations of \(\Omega\) defined by using non- homogeneous approximations of the Brownian sheet.
hyperbolic stochastic partial differential equation
scientific article; zbMATH DE number 569034
scientific article