The radiation condition at infinity for the high-frequency Helmholtz equation with source term: a wave-packet approach

DOI10.1016/j.jfa.2004.08.008zbMath1072.35159OpenAlexW2103606946MaRDI QIDQ557584

Francois Castella

Publication date: 30 June 2005

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

Full work available at URL: https://eudml.org/doc/10596

zbMATH Keywords

dispersionHelmholtz equationlimiting absorption principleoutgoing solutionsemi-classical Schrödinger propagatorwave-packets

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (8)

Besov estimates in the high-frequency Helmholtz equation, for a non-trapping and \(C^{2}\) potential ⋮ A typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains ⋮ High frequency limit of Helmholtz equations: refraction by sharp interfaces ⋮ Semiclassical measure for the solution of the dissipative Helmholtz equation ⋮ A Space-Time Wigner Function Approach to Long Time Schrödinger--Poisson Dynamics ⋮ Limit measures for the Helmholtz equation in the non-trapping case ⋮ Uniform resolvent estimates for a non-dissipative Helmholtz equation ⋮ High-frequency limit of the Helmholtz equation with variable refraction index

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