Semiclassical measure for the solution of the dissipative Helmholtz equation

DOI10.1016/j.jde.2010.07.004zbMath1206.35083arXiv0911.4362OpenAlexW2071917811MaRDI QIDQ603717

Julien Royer

Publication date: 8 November 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4362

zbMATH Keywords

Fourier transformsWeyl quantizationsemiclassical measuresHelmoltz equationLagrangian distributions

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Fourier integral operators applied to PDEs (35S30) Linear accretive operators, dissipative operators, etc. (47B44) Pseudodifferential operators (47G30)

Related Items

Uniform resolvent estimates for a non-dissipative Helmholtz equation

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