Hölder-Sobolev regularity of solutions to a class of SPDE's driven by a spatially colored noise
The authors present new results regarding the equivalence, the existence and the joint space-time regularity properties of various notions of solution to a class of nonautonomous, semilinear, stochastic differential equations defined on a smooth, bounded convex domain \(D\subset R^d\) and driven by a spatially colored noise defined from an \(L^2(D)\)-valued Wiener process.
scientific article; zbMATH DE number 1777380