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Regularity properties of the solution to a stochastic heat equation driven by a fractional Gaussian noise on ${\mathbb{S}}^2$. (arXiv:1807.05867v1 [math.PR])
来源于:arXiv
We study the stochastic heat equation driven by an additive infinite
dimensional fractional Brownian noise on the unit sphere $\mathbb{S}^{2}$. The
existence and uniqueness of its solution in certain Sobolev space is
investigated and sample path regularity properties are established. In
particular, the exact uniform modulus of continuity of the solution in
time/spatial variable is derived. 查看全文>>
