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

Probability 2022-01-26 v1

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.

Keywords

Cite

@article{arxiv.2201.10054,
  title  = {Estimates in $L_{p}$ for solutions of SPDEs with coefficients in Morrey classes},
  author = {N. V. Krylov},
  journal= {arXiv preprint arXiv:2201.10054},
  year   = {2022}
}

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16 pages