Non-uniform Gradient Estimates for SDEs with Local Monotonicity Conditions

• 作者: Jian WANG Bing Yao WU
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 458-470
• 页数: 13页
• 语种: 英文

摘要

By using the coupling method and the localization technique, we establish non-uniform gradient estimates for Markov semigroups of diffusions or stochastic differential equations driven by pure jump Lévy noises, where the coefficients only satisfy local monotonicity conditions.