Lp estimates for the uniform norm of solutions of quasilinear SPDE's

• 成果类型: Article
• 署名作者: Denis, L; Matoussi, A; Stoica, L
• 署名单位: Universite Paris Saclay; Le Mans Universite; University of Bucharest
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-005-0436-5
• 发表日期: 2005
• 页码: 437-463
• 关键词: STOCHASTIC DIFFERENTIAL-EQUATIONS; driven; noise

摘要

In this paper we prove L-p estimates (p >= 2) for the uniform norm of the paths of solutions of quasilinear stochastic partial differential equations (SPDE) of parabolic type. Our method is based on a version of Moser's iteration scheme developed by Aronson and Serrin in the context of non-linear parabolic PDE.