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

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

2010-07-19

arxiv.org/abs/1007.3295v1

Mathematics

Probability

Scientific paper

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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