Article ID Journal Published Year Pages File Type
5129707 Statistics & Probability Letters 2017 8 Pages PDF
Abstract

In this paper, we consider semilinear stochastic fractional heat equation ∂ut∂t=−(−△)β/2ut+σ(ut)η̇. The Gaussian noise η̇ is assumed to be colored in space with covariance of the form E(η̇(t,x)η̇(s,y))=δ0(t−s)fα(x−y), where fα is the Riesz kernel fα(x)∝∣x∣−α. We obtain the spatial and temporal Hölder continuity of the mild solution.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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