Small Perturbations and the Eigenvalues of the Laplacian on Large Bounded Domains

DOI10.2307/2046398zbMath0643.35074OpenAlexW4240255266MaRDI QIDQ3785280

Werner Kirsch

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046398

zbMATH Keywords

eigenvaluesLaplacian

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (12)

Moment analysis for localization in random Schrödinger operators ⋮ The spectral shift function and the Friedel sum rule ⋮ Bounds on the spectral shift function and the density of states ⋮ Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H) ⋮ A lower bound for the density of states of the lattice Anderson model ⋮ Weak convergence of spectral shift functions for one‐dimensional Schrödinger operators ⋮ The spectral shift function for compactly supported perturbations of Schrödinger operators on large bounded domains ⋮ Anderson's orthogonality catastrophe ⋮ Eigenvalues in gaps and decoupling by Neumann boundary conditions ⋮ The stability of the density of states of Schrödinger operator under very small perturbations ⋮ A lower Wegner estimate and bounds on the spectral shift function for continuum random Schrödinger operators ⋮ Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function

Cites Work

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