论文标题

$ l_ {p} $的估计用于SPDE的解决方案,具有系数

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

论文作者

Krylov, N. V.

论文摘要

对于以差异形式的某些类别SPDE的解决方案,我们介绍了其$ L_ {p} $ - 规范和$ L_ {p} $ - 其第一阶导数的规范的一些估计。主要新颖性是低阶系数应该属于某些莫雷类,而不是$ l_ {p} $ - 空格。即使方程中没有随机术语,我们的结果也是新的。

For solutions of a certain class of SPDEs in divergence form we present some estimates of their $L_{p}$-norms and the $L_{p}$-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 $L_{p}$-spaces. Our results are new even if there are no stochastic terms in the equation.

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