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

Published 19 Jul 2010 in math.PR | (1007.3295v1)

Abstract: In this paper we present an $L^p$-theory for the stochastic partial differential equations (SPDEs in abbreciation) driven by L\'e{}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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