Measures on double or resonant eigenvalues for linear Schrödinger operator

DOI10.1016/j.jfa.2007.11.009zbMath1146.35062OpenAlexW2010571592MaRDI QIDQ2476491

Benoît Desjardins, Emmanuel Grenier, Bresch, Didier

Publication date: 20 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.11.009

zbMATH Keywords

linear Schrödinger operatorresonant setmultiple eigenvaluesmeasure type estimates

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Multiplicities of the eigenvalues of the Schrödinger equation in any dimension
• Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians
• Semi-classical analysis for the Schrödinger operator and applications
• Forme normale pour NLS en dimension quelconque. (Normal form for NLS in arbitrary dimension)
• A Landau-Zener formula for non-degenerated involutive codimension 3 crossings
• Mesures semi-classiques et croisement de modes
• Résonances en limite semi-classique
• Generic Properties of Eigenfunctions

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