Mourre's commutators method for a dissipative form perturbation

DOI10.7900/JOT.2015DEC10.2089zbMath1399.47022OpenAlexW2527644994MaRDI QIDQ2835265

Julien Royer

Publication date: 1 December 2016

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7900/jot.2015dec10.2089

zbMATH Keywords

quadratic formslimiting absorption principledissipative operatorsMourre's theoryrelatively smooth operators in the sense of Kato

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (4)

Local energy decay and smoothing effect for the damped Schrödinger equation ⋮ Energy decay in a wave guide with dissipation at infinity ⋮ On the spectral properties of non-selfadjoint discrete Schrödinger operators ⋮ LOCAL DECAY FOR THE DAMPED WAVE EQUATION IN THE ENERGY SPACE

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