On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential.

DOI10.1007/BF02790267zbMath1200.35196MaRDI QIDQ5941783

Michael Solomyak, Mikhail Sh. Birman

Publication date: 30 August 2001

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items

Spectral analysis for some multifractional Gaussian processes, A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line, Quasiconformal mappings and periodic spectral problems in dimension two, Discrete spectrum of a two-dimensional periodic elliptic second order operator perturbed by a decaying potential. II. Internal gaps, Regularity of elliptic systems in divergence form with directional homogenization, Inverse nodal problems for singular problems in the half-line, \( L_2\)-small ball asymptotics for Gaussian random functions: a survey, Spectral approach to homogenization of an elliptic operator periodic in some directions, On the mathematical work of Mikhail Zakharovich Solomyak, Mikhail Shlemovich Birman \lowercase{(on the occasion of his 75th birthday)}, Small ball probabilities for Gaussian random fields and tensor products of compact operators, Counting Schrödinger Boundstates: Semiclassics and Beyond, On the mathematical work of M. Sh. Birman

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