Spectral analysis for perturbed Laplace operators in cylindrical domains

DOI10.1007/BF01729362zbMath0399.35081OpenAlexW1967000928MaRDI QIDQ1254671

Hideo Tamura

Publication date: 1979

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01729362

zbMATH Keywords

Principle of Limiting AbsorptionSpectral TheorySelf-Adjoint Operator

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (2)

The principle of limiting absorption for uniformly propagative systems with perturbations of long-range class ⋮ The principle of limiting absorption for propagative systems in crystal optics with perturbations of long-range class

Cites Work

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• Spectral representation for Schrödinger operators with long-range potentials
• Radiation conditions and spectral theory for 2-body Schrödinger operators with oscillating long-range potentials. I: The principle of limiting absorption
• Growth properties of solutions of second order elliptic differential equations
• Remarks on pseudo-differential operators
• Ein gewöhnlicher Differentialoperator zweiter Ordnung für Funktionen mit Werten in einem Hilbertraum
• Absolute continuity of positive spectrum for Schrödinger operators with long-range potentials
• Limiting absorption method and absolute continuity for the Schrödinger operator
• Eigenfunction expansions associated with the Laplacian for certain domains with infinite boundaries. I
• THE PRINCIPLE OF LIMIT AMPLITUDE

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