Regularity of a fractional partial differential equation driven by space-time white noise

Niu, Min; Xie, Bin

doi:10.1090/S0002-9939-09-10197-1

Regularity of a fractional partial differential equation driven by space-time white noise
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by Min Niu and Bin Xie PDF

Proc. Amer. Math. Soc. 138 (2010), 1479-1489 Request permission

Abstract:

We will deal with one dimensional stochastic fractional order partial differential equation driven by space-time white noise. The existence and uniqueness of the solution and especially some regularities of the solution are investigated. The regularities of the solution in its time and space variables depend on the relation of the fractional order of its operator and coefficients.

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