| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4591332 | Journal of Functional Analysis | 2012 | 50 Pages |
Abstract
We establish the existence and uniqueness of a strong solution to the Cauchy problem for a singular diffusion equation with random noise in Rd with initial data in L2(Rd) with bounded variation or in H1(Rd). We also prove the existence of an invariant measure and extinction of a solution in finite time.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
