Uniform resolvent estimates for a non-dissipative Helmholtz equation

zbMath1315.35064arXiv1103.3868MaRDI QIDQ5177856

Julien Royer

Publication date: 6 March 2015

Full work available at URL: https://arxiv.org/abs/1103.3868

zbMATH Keywords

Helmholtz equationresolvent estimateslimiting absorption principlesemiclassical measuresnon-selfadjoint operators

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Linear accretive operators, dissipative operators, etc. (47B44) Pseudodifferential operators (47G30)

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Energy decay in a wave guide with dissipation at infinity ⋮ Exponential decay for the Schrödinger equation on a dissipative waveguide

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