一类半线性椭圆方程的概率解法(英)  

A Probabilistic Approach to Semilinear Elliptic Equations

作　　者：杨春鹏[1] 

机构地区：[1]郑州大学数学系,郑州450052

出　　处：《应用数学》1997年第4期85-89,共5页Mathematica Applicata

摘　　要：设D为Rd（d≥3）内的无界区域，本文以超布朗运动为工具证明了下述这值问题解的存在性和唯一性．Let D be an unbounded domain in Rd(d≤3). We estabish a connection between nonnegative solutions of a class of semlinear elliptic equations and hitting probabilities of the associated superBrownian motion and we prove the existence and the uniquness of the boundary value problem Δu= Kua(in D),u=f (on D).

关 键 词：超布朗运动 半线性 椭圆型方程 概率解法 

分 类 号：O175.25[理学—数学]