Besov estimates in the high-frequency Helmholtz equation, for a non-trapping and \(C^{2}\) potential

DOI10.1016/j.jde.2006.06.006zbMath1105.35091OpenAlexW2084979108MaRDI QIDQ852569

Thierry Jecko, Francois Castella

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jde.2006.06.006

zbMATH Keywords

Helmholtz equationlimiting absorption principleWigner transformMorrey-Campanato spacesnon-trapping potential

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 (5)

Semiclassical measure for the solution of the dissipative Helmholtz equation ⋮ Minoration de la résolvante dans le cas captif ⋮ Dispersion and Strichartz estimates for the Liouville equation ⋮ Limiting Absorption Principle for the Dissipative Helmholtz Equation ⋮ Limit measures for the Helmholtz equation in the non-trapping case

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