On estimates for the number of negative eigenvalues of two-dimensional Schrodinger operators with potentials supported by Lipschitz curves

[摘要] In this paper we present quantitative upper estimates for the number of negative eigenvalues of a two dimensional Schrodinger operator with potential supported by an unbounded Lipschitz curve. The estimates are given in terms of weighted L-1 and L log L type Orlicz norms of the potential. (C) 2017 Elsevier Inc. All rights reserved.

[发布日期] 2017-12-15

[关键词] Negative eigenvalues;Schrodinger operators;Lipschitz curves