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arxiv: 1008.1025 · v1 · pith:K4PSJN36new · submitted 2010-08-05 · 🧮 math.PR

Model problem for integro-differential Zakai equation with discontinuous observation processes in H\"older spaces

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keywords problemequationintegro-differentialjumpobservationarisescauchyconsidered
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The existence and uniqueness of solutions of the Cauchy problem to a a stochastic parabolic integro-differential equation is investigated. The equattion considered arises in nonlinear filtering problem with a jump signal process and jump observation.

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