Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5129707 | Statistics & Probability Letters | 2017 | 8 Pages |
Abstract
In this paper, we consider semilinear stochastic fractional heat equation âutât=â(ââ³)β/2ut+Ï(ut)ηÌ. The Gaussian noise Î·Ì is assumed to be colored in space with covariance of the form E(ηÌ(t,x)ηÌ(s,y))=δ0(tâs)fα(xây), where fα is the Riesz kernel fα(x)ââ£xâ£âα. We obtain the spatial and temporal Hölder continuity of the mild solution.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Kexue Li,