Wave front set for solutions to Schrödinger equations

DOI10.1016/j.jfa.2008.06.007zbMath1155.35014OpenAlexW2082419235MaRDI QIDQ1002232

Shu Nakamura

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.06.007

zbMATH Keywords

Schrödinger equationwave front setpropagation of singularities

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10)

Related Items

Quasi-Feynman formulas -- a method of obtaining the evolution operator for the Schrödinger equation ⋮ Wave Front Set for Solutions to Perturbed Harmonic Oscillators ⋮ Propagation of singularities for Schrödinger equations with modestly long range type potentials ⋮ Propagation of the homogeneous wave front set for Schrödinger equations ⋮ Remarks on the fundamental solution to Schrödinger equation with variable coefficients ⋮ Analytic Wave Front Set for Solutions to Schrödinger Equations II – Long Range Perturbations ⋮ Wave front set for solutions to Schrödinger equations with long-range perturbed harmonic oscillators ⋮ Analytic wave front set for solutions to Schrödinger equations ⋮ Semiclassical singularities propagation property for Schrödinger equations ⋮ Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation ⋮ Kato Smoothing Effect for Schrödinger Operator ⋮ Singularities for solutions to Schrödinger equations with asymptotically constant magnetic fields

Cites Work

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• Dispersion of singularities of solutions for Schrödinger equations
• Microlocal dispersive smoothing for the Schrödinger equation
• Analytic smoothing effect for the Schrödinger equation with long‐range perturbation
• An introduction to semiclassical and microlocal analysis
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