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Change of stability for Schrödinger semigroups*

Published online by Cambridge University Press:  14 November 2011

K. J. Brown ,
D. Daners  and
J. López-Gómez
K. J. Brown
Affiliation:
Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh EH 14 4AS, U.K.
D. Daners
Affiliation:
Departamento de Mathemática Aplicada, Universidad Complutense de Madrid, 28040-Madrid, Spain
J. López-Gómez
Affiliation:
Departamento de Mathemática Aplicada, Universidad Complutense de Madrid, 28040-Madrid, Spain
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Abstract

In this paper we analyse the change of stability of Schrödinger semigroups with indefinite potentials when a coupling parameter varies. Generically, the change of stability takes place at a principal eigenvalue associated with the problem. The uniqueness of the principal eigenvalue is shown for several classes of potentials.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 4 , 1995 , pp. 827 - 846
Copyright
Copyright © Royal Society of Edinburgh 1995

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