On L_p- theory for stochastic parabolic integro-differential equations

Published 28 Dec 2010 in math.PR and math.AP | (1012.5816v3)

Abstract: The existence and uniqueness in fractional Sobolev spaces of the Cauchy problem to a stochastic parabolic integro-differential equation is investigated. A model problem with coefficients independent of space variable is considered. The equation arises, for example, in a filtering problem with a jump signal and jump observation process.

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