On time inhomogeneous stochastic Itô equations with drift in $L_{d+1}$

UDC 519.21 We prove the solvability of Itô stochastic equations with uniformly nondegenerate bounded measurable diffusion and drift in $L_{d+1}(R^{d+1}).$Actually, the powers of summability of the drift in $x$ and $t$ could be different. Our results seem to be new even if the diffusion is constant....

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Bibliographic Details
Date:2020
Main Author: Krylov, N. V. 
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6280
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal