High-frequency limit of the Helmholtz equation with variable refraction index

DOI10.1016/j.jfa.2005.06.003zbMath1141.35016OpenAlexW2064203123MaRDI QIDQ813937

Ping Zhang, Xue Ping Wang

Publication date: 2 February 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.06.003

zbMATH Keywords

Schrödinger operatorHelmholtz equationLiouville equationhigh frequency limitsemi-classical measureuniform resolvent estimates

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (max. 100)

Besov estimates in the high-frequency Helmholtz equation, for a non-trapping and \(C^{2}\) potential ⋮ Semiclassical measure for the solution of the dissipative Helmholtz equation ⋮ Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies ⋮ Limit measures for the Helmholtz equation in the non-trapping case ⋮ Uniform resolvent estimates for a non-dissipative Helmholtz equation

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