WEAK POINCARE INEQUALITIES FOR CONVERGENCE RATE OF DEGENERATE DIFFUSION PROCESSES

• 成果类型: Article
• 署名作者: Grothaus, Martin; Wang, Feng-Yu
• 署名单位: University of Kaiserslautern; Tianjin University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/18-AOP1328
• 发表日期: 2019
• 页码: 2930-2952
• 关键词: kinetic-equations; MARKOV-PROCESSES; hypocoercivity; FORMULA; nash

摘要

For a contraction C-0-semigroup on a separable Hilbert space, the decay rate is estimated by using the weak Poincare inequalities for the symmetric and antisymmetric part of the generator. As applications, nonexponential convergence rate is characterized for a class of degenerate diffusion processes, so that the study of hypocoercivity is extended. Concrete examples are presented.