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Continuity of eigenvalues for Schrödinger operators, $L^p$-properties of Kato type integral operators

✍ Scribed by Ali Ben Amor; Wolfhard Hansen

Publisher: Springer
Year: 2001
Tongue: English
Weight: 253 KB
Volume: 321
Category: Article
ISSN: 0025-5831
DOI: 10.1007/s002080100260

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Given a separable, locally compact Hausdorff space X and a positive Radon measure m(dx) on it, we study the problem of finding the potential V(x) 0 that maximizes the first eigenvalue of the Schro dinger-type operator L+V(x); L is the generator of a local Dirichlet form (a, D[a]) on L 2 (X, m(dx)).