Strict solutions to stochastic parabolic evolution equations in M-type 2 Banach spaces
Abstract
We study a stochastic linear evolution equation dX+A(t)Xdt=F(t)dt+ G(t)dwt in a Banach space of M-type 2. We construct unique strict solutions to the equation on the basis of the theory of deterministic linear evolution equations. The abstract results are applied to stochastic diffusion equations.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.