ON CRITICAL AND SUBCRITICAL STURM-LIOUVILLE OPERATORS

被引：25
|
作者：
GESZTESY, F
ZHAO, Z
机构：
[1] Department of Mathematics, University of Missouri, Columbia
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1991年 / 98卷 / 02期
关键词：
D O I：
10.1016/0022-1236(91)90081-F
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study critical and subcritical Sturm-Liouville operators k-1[-( d dx) (p( d dx)) + V] in L2((a, b); k dx), (a, b) ⊆ R (defined as Friedrichs extensions) under most general conditions on k, p, and V. In particular we prove the equivalence of the notions of criticality as introduced by Simon and Murata for an important class of potentials V. © 1991.
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页码：311 / 345
页数：35
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