ON STRONG SOLUTIONS OF ITÔ'S EQUATIONS WITH Dσ AND b IN MORREY CLASSES CONTAINING Ld
成果类型：
Article
署名作者：
Krylov, N. V.
署名单位：
University of Minnesota System; University of Minnesota Twin Cities
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/23-AOP1630
发表日期：
2023
页码：
1729-1751
关键词：
摘要：
We consider Ito uniformly nondegenerate equations with time independent coefficients, the diffusion coefficient in W12+epsilon,loc, and the drift in a Morrey class containing Ld. We prove the unique strong solvability in the class of admissible solutions for any starting point. The result is new even if the diffusion is constant.