Regularity Theory and Stochastic Flows for Parabolic Spde's
Franco Flandoli · 2024
Stochastic evolution equations of parabolic type are considered. General regularity results for both homogeneous and non-homogeneous boundary value problems are given, and some counterexamples are discussed. The regularity theory is then used to give abstract criteria for the existence of stochastic flows. Several applications to concrete problems are discussed in detail.