SOME RESOLVENT ESTIMATES FOR STURM-LIOUVILLE OPERATORS

Authors
Citation
P. Briet et E. Mourre, SOME RESOLVENT ESTIMATES FOR STURM-LIOUVILLE OPERATORS, Journal of mathematical analysis and applications, 201(3), 1996, pp. 867-879
Citations number
12
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
0022247X
Volume
201
Issue
3
Year of publication
1996
Pages
867 - 879
Database
ISI
SICI code
0022-247X(1996)201:3<867:SREFSO>2.0.ZU;2-V
Abstract
In this paper we derive some a priori estimates on the resolvent of on e dimensional Schrodinger operators from the solutions of the associat ed differential equation with real energy. In particular this implies the existence of an absolutely continuous spectrum in some situations. (C) 1996 Academic Press, Inc.