A NOTE ON SOLUTIONS OF THE SCHRODINGER-EQUATION

被引：5
|
作者：
HANSEN, W
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 117卷 / 02期
关键词：
SCHRODINGER EQUATION; ISOLATED SINGULARITY; KATO FUNCTION; KATO MEASURE;
D O I：
10.2307/2159172
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using a suitable geometric series a simple proof for the continuity of L1-solutions of the Schrodinger equation Lu := DELTAu - Vu (V being a Kato function) is obtained. It works as well for uniformly elliptic operators having Holder continuous coefficients and Kato measures instead of Kato functions. Moreover, it is shown that results on singularities are immediate consequences of the local existence of continuous Green functions for L .
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页码：381 / 384
页数：4
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