Estimates in LpL_{p} for solutions of SPDEs with coefficients in Morrey classes

preprint2022arXivOpen access

Abstract

For solutions of a certain class of SPDEs in divergence form we present some estimates of their LpL_{p}-norms and the LpL_{p}-norms of their first-order derivatives. The main novelty is that the low-order coefficients are supposed to belong to certain Morrey classes instead of LpL_{p}-spaces. Our results are new even if there are no stochastic terms in the equation.

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