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A characterization of the eigenvalues of Schrödinger operators with Dirichlet and Neumann boundary conditions
Author(s) -
Behrndt Jussi,
Rohleder Jonathan
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010321
Subject(s) - dirichlet distribution , bounded function , mathematics , eigenvalues and eigenvectors , dirichlet eigenvalue , neumann boundary condition , boundary (topology) , inverse , mathematical analysis , boundary value problem , dirichlet boundary condition , domain (mathematical analysis) , gravitational singularity , pure mathematics , dirichlet's principle , physics , geometry , quantum mechanics
The eigenvalues of the self‐adjoint Schrödinger operators on a bounded domain with Dirichlet and Neumann boundary conditions are characterized by the singularities of an associated Dirichlet‐to‐Neumann map and its inverse, respectively. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)