An LpL^p-theory of non-divergence form SPDEs driven by Lévy processes

preprint2010arXivOpen access

Abstract

In this paper we present an LpL^p-theory for the stochastic partial differential equations (SPDEs in abbreciation) driven by Lé{}vy processes. Existence and uniqueness of solutions in Sobolev spaces are obtained. The coefficients of SPDEs under consideration are random functions depending on time and space variables.

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