Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592089 | Journal of Functional Analysis | 2007 | 23 Pages |
Abstract
In this paper, we study the regularities of solutions to semilinear stochastic partial differential equations in general settings, and prove that the solution can be smooth arbitrarily when the data is sufficiently regular. As applications, we also study several classes of semilinear stochastic partial differential equations on abstract Wiener space, complete Riemannian manifold as well as bounded domain in Euclidean space.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory