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 -norms and the -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 -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}
}
Comments
16 pages