The Algebraic Multiplicity of Eigenvalues and the Evans Function Revisited

DOI10.1051/mmnp/20105412zbMath1193.35110OpenAlexW2101601876MaRDI QIDQ3576324

Yuri Latushkin, Alim Sukhtayev

Publication date: 30 July 2010

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197679

zbMATH Keywords

linear stabilityEvans functiontraveling wavesFredholm determinantsnon-self-adjoint operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (11)

On the number of eigenvalues of the biharmonic operator on \(\mathbb{R}^3\) perturbed by a complex potential ⋮ On the number of eigenvalues of the discrete one-dimensional Schrödinger operator with a complex potential ⋮ Eigenvalue bounds for Schrödinger operators with complex potentials. III ⋮ The abstract Birman-Schwinger principle and spectral stability ⋮ Lieb-Thirring and Jensen sums for non-self-adjoint Schrödinger operators on the half-line ⋮ On the number of eigenvalues of the discrete one-dimensional Dirac operator with a complex potential ⋮ Estimating the number of eigenvalues of linear operators on Banach spaces ⋮ On the number of eigenvalues of Schrödinger operators with complex potentials ⋮ The infinite dimensional Evans function ⋮ On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions ⋮ The generalized Birman–Schwinger principle

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