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A remark on finiteness of the lower spectrum of uniformly elliptic operators with singular potentials
Authors:Kazuhiro Kurata
Affiliation:(1) Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo, Japan
Abstract:In this paper, we extend the result of Donig[Do] and show the finiteness of the lower spectrum of the uniformly elliptic operators–dtri·(A(x)dtri)+q with singular potentialsq which belong to the Kato class. Even in the case of the Schrödinger operator–Delta+q, our proof simplifies the one in [Do].
Keywords:Primary: 35P05  35J15  35J10
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