Change of stability for Schrödinger semigroups

K. J. Brown, D. Daners and J. López-Gómez

Proceedings of the Royal Society of Edinburgh 125A(1995), 827–846
Original article at doi:10.1017/S0308210500030389
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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.

AMS Subject Classification (2000): 47D06, 35B09, 35C10

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