A degenerate stochastic partial differential equation for superprocesses with singular interaction

• 成果类型: Article
• 署名作者: Li, ZH; Wang, H; Xiong, J
• 署名单位: University of Oregon; Beijing Normal University; University of Tennessee System; University of Tennessee Knoxville; University of Alberta
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-003-0313-z
• 发表日期: 2004
• 页码: 1-17
• 关键词: valued branching diffusions

摘要

The scaling limit for a class of interacting superprocesses and the associated singular, degenerate stochastic partial differential equation (SDSPDE) are investigated. It is proved that the scaling limit is a coalescing, purely-atomic-measure-valued process which is the unique strong solution of a reconstructed, associated SDSPDE.