Uniqueness of Schrodinger operators restricted in a domain

被引：0

作者：

Wu, LM ^{[1
]}

机构：

[1] Univ Blaise Pascal, CNRS UMR 6620, Lab Math Appl, F-63177 Clermont Ferrand, France

[2] Wuhan Univ, Dept Math, Wuhan, Peoples R China

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1998年 / 153卷 / 02期

关键词：

L-1-essential generator; essential Markovian self-adjointness; Schrodinger operators; Dirichlet forms;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S := Delta/2 + V be the Schrodinger's operator defined on C-0(x)(D) where D is a (open) domain in R-d. By means of the asymptotic behavior of V near the boundary partial derivative D, we give the necessary and sufficient conditions to the essential Markovian self-adjointness of S for the nonnegative potential V, and to the uniqueness of S in L-1(D) for general V. (C) 1998 Academic Press.

引用

页码：276 / 319

页数：44

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