Mathematical Sciences: Parabolic Stochastic Partial Differential Equations

数学科学：抛物型随机偏微分方程

• 批准号: 9002997
• 负责人: Boris Rozovsky
• 金额: $ 4.98万
• 依托单位: University of North Carolina at Charlotte
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-15 至 1992-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9002997&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Parabolic; Stochastic; Partial

The principal investigator will continue to develop the theory of stochastic partial differential equations (SPDE's). Random fields governed by SPDE's have been used intensively in physics, biology, chemistry, and electrical engineering as models for various random phenomena. Substantial progress in this field has been made in the last decade, but still the theory is in its infancy. The investigator plans to continue his research in several related areas of linear and non-linear SPDE's.

首席研究员将继续发展随机偏微分方程（SPDE）的理论。 由 SPDE 控制的随机场已广泛应用于物理学、生物学、化学和电气工程中，作为各种随机现象的模型。 过去十年来，这一领域取得了实质性进展，但该理论仍处于起步阶段。 研究人员计划继续在线性和非线性 SPDE 的几个相关领域进行研究。