A NOTE ON PROBABILISTIC INTERPRETATION FOR QUASILINEAR MIXED BOUNDARY PROBLEMS
A NOTE ON PROBABILISTIC INTERPRETATION FOR QUASILINEAR MIXED BOUNDARY PROBLEMS作者机构:Faculty of Science and Technology University of Macau Macau P. R. China Department of Mathematics Zhongshan University Guangzhou P. R. China
出 版 物:《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))
年 卷 期:1997年第18卷第9期
页 面:857-864页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程(可授工学、理学学位)] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学(可授工学、理学学位)]
主 题:quasilinear partial differential equations mixed boundary problems stochastic differential equations probabilistic interpretations
摘 要:Solutions of quasilinear mixed boundary problems for the some parabolic an elliptic partial differential equations are interpreted as solutions of a kind of backward stochastic differential equations, which are associated with the classical Ito forward stochastic differential equations with reflecting boundary conditions.