Analytic singularities for long range Schrödinger equations

DOI10.1016/j.crma.2008.07.010zbMath1149.35303OpenAlexW1969511478MaRDI QIDQ943638

André Martinez, Shu Nakamura, Vania Sordoni

Publication date: 10 September 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.07.010

zbMATH Keywords

long range perturbationsbackward non-trapping pointsforward non-trapping pointssemiclassical exponential decay

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) PDEs in connection with quantum mechanics (35Q40) Initial value problems for linear higher-order PDEs (35G10) Wave front sets in context of PDEs (35A18)

Cites Work

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• Propagation of singularities and growth for Schrödinger operators
• Microlocal analytic smoothing effect for the Schrödinger equation
• Effect régularisant microlocal analytique pour l'équation de Schrödinger le cas des données oscillantes
• Analytic smoothing effect for the Schrödinger equation with long‐range perturbation
• An introduction to semiclassical and microlocal analysis
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