Article ID Journal Published Year Pages File Type
4591210 Journal of Functional Analysis 2010 25 Pages PDF
Abstract

An abstract evolution equation in Hilbert spaces is considered. In the deterministic case, it includes several examples of non-uniqueness. It is proved that pathwise uniqueness is restored by means of a suitably non-degenerate additive noise. The proof is based on the associated infinite dimensional Kolmogorov equation.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory