4.6 Article

Gradient estimates for SDEs driven by multiplicative Levy noise

期刊

JOURNAL OF FUNCTIONAL ANALYSIS
卷 269, 期 10, 页码 3195-3219

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2015.09.007

关键词

Gradient estimate; Derivative formula; Levy process; Time-change

资金

  1. NSFC [11131003, 11431014, 11271294, 11325105]
  2. Macau S.A.R FDCT [049/2014/A1]
  3. Program for New Century Excellent Talents in University
  4. 985 project
  5. Laboratory of Mathematical and Complex Systems

向作者/读者索取更多资源

Gradient estimates are derived, for the first time, for the semi-group associated to a class of stochastic differential equations driven by multiplicative Levy noise. In particular, the estimates are sharp for a-stable type noises. To derive these estimates, a new derivative formula of Bismut-Elworthy-Li's type is established for the semigroup by using the Malliavin calculus and a finite-jump approximation argument. (C) 2015 Elsevier Inc. All rights reserved.

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