4.3 Article

Non-uniform Gradient Estimates for SDEs with Local Monotonicity Conditions

期刊

ACTA MATHEMATICA SINICA-ENGLISH SERIES
卷 37, 期 3, 页码 458-470

出版社

SPRINGER HEIDELBERG
DOI: 10.1007/s10114-020-9365-6

关键词

Gradient estimate; Markov semigroup; monotonicity condition; coupling; stochastic differential equation; Lé vy process

资金

  1. National Natural Science Foundation of China [11831014]
  2. Program for Probability and Statistics: Theory and Application [IRTL1704]
  3. Program for Innovative Research Team in Science and Technology in Fujian Province University (IRTSTFJ)

向作者/读者索取更多资源

By utilizing the coupling method and localization technique, non-uniform gradient estimates were established for Markov semigroups of diffusions or stochastic differential equations driven by pure jump Levy noises, with coefficients satisfying local monotonicity conditions.
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 Levy noises, where the coefficients only satisfy local monotonicity conditions.

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