Semiclassical Singularity Propagation Property for Schrödinger Equations

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dc.creatorNakamura, Shu
dc.date2006-05-30
dc.date2007-09-18
dc.date.accessioned2026-07-07T08:30:11Z
dc.date.available2026-07-07T08:30:11Z
dc.descriptionWe consider Schrödinger equations with variable coefficients, and it is supposed to be a long-range type perturbation of the flat Laplacian on $R^n$. We characterize the wave front set of solutions to Schrödinger equations in terms of the initial state. Then it is shown that the singularity propagates following the classical flow, and it is formulated in a semiclassical settings. Methods analogous to the long-range scattering theory, in particular a modified free propagator, are employed.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0605742
dc.identifierhttp://arxiv.org/abs/math/0605742
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138179
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q40; 35J10
dc.titleSemiclassical Singularity Propagation Property for Schrödinger Equations
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