Quasiconformal mappings and periodic spectral problems in dimension two

DOI10.1007/BF02788782zbMath1048.30010arXivmath/0109216OpenAlexW1973168471MaRDI QIDQ1880925

Alexander V. Sobolev, Eugene Shargorodsky

Publication date: 27 September 2004

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

Full work available at URL: https://arxiv.org/abs/math/0109216

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Quasiconformal mappings in the complex plane (30C62)

Related Items

Absence of eigenvalues for the periodic Schrödinger operator with singular potential in a rectangular cylinder, Asymptotics of eigenvalues in spectral gaps under regular perturbations of walls of a periodic waveguide, On the first subharmonic bifurcations in a branch of Stokes water waves, The subharmonic bifurcation of Stokes waves on vorticity flow, Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder, Absolute continuity and band gaps of the spectrum of the Dirichlet Laplacian in periodic waveguides, Absolute continuity of the Schrödinger operator spectrum in a multidimensional cylinder, The Schrödinger operator in a periodic waveguide on a plane and quasiconformal mappings, On the spectrum of curved planar waveguides

Cites Work

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