SUPERDIFFUSIONS AND PARABOLIC NONLINEAR DIFFERENTIAL-EQUATIONS

• 成果类型: Article
• 署名作者: DYNKIN, EB
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989812
• 发表日期: 1992
• 页码: 942-962
• 关键词: super-brownian motion; heat-equation; absorption

摘要

We establish connections between superdiffusion processes and one class of nonlinear parabolic differential equations. Analytic results due to Brezis and Friedman, Baras and Pierre and others are used to investigate the graphs of superdiffusions. A survey of the literature and general comments are presented in Section 4.