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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the location of the essential spectrum of Schrödinger operators


Authors: Giorgio Metafune and Diego Pallara
Journal: Proc. Amer. Math. Soc. 130 (2002), 1779-1786
MSC (2000): Primary 35J10; Secondary 35P15
Published electronically: November 9, 2001
MathSciNet review: 1887026
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Abstract: We give estimates on the bottom of the essential spectrum of Schrödinger operators $-\Delta+V$ in $L^2(\mathbf{R}^N)$.


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Additional Information

Giorgio Metafune
Affiliation: Dipartimento di Matematica “Ennio De Giorgi”, Università di Lecce, C.P.193, 73100, Lecce, Italy
Email: metafune@le.infn.it

Diego Pallara
Affiliation: Dipartimento di Matematica “Ennio De Giorgi”, Università di Lecce, C.P.193, 73100, Lecce, Italy
Email: pallara@le.infn.it

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06271-2
PII: S 0002-9939(01)06271-2
Keywords: Schr\"odinger operators, essential spectrum
Received by editor(s): September 5, 2000
Received by editor(s) in revised form: December 22, 2000
Published electronically: November 9, 2001
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2001 American Mathematical Society