REGULAR SOLUTIONS FOR SCHRODINGER EQUATION ON UNBOUNDED DOMAINS

被引：0

作者：

任艳霞

吴荣

机构：

来源：

Acta Mathematica Scientia | 1998年 / 04期

关键词：

Schrodinger equation; Regular solution; Stochastic Dirichlet problem;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

The authors study a class of solutions,namely, regular solutions of the Schrodinger equation (Δ+q)u=0 on unbounded domains. They definite the regular solutions in terms of sample path properties of Brownian motion and then characterize them by analytic method. In Section 4, they discuss the regular solution to the stochastic Dirichlet problem for the equation (Δ+q)u=0 having limit α at infinity.

引用

页码：387 / 393

页数：7

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