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