Wave front set for solutions to perturbed harmonic oscillators

Simple item page
dc.creatorMao, Shikuan
dc.creatorNakamura, Shu
dc.date2008-10-09
dc.date.accessioned2026-07-07T10:08:43Z
dc.date.available2026-07-07T10:08:43Z
dc.descriptionWe consider Schrödinger equations with variable coefficients and the harmonic potential. We suppose the perturbation is short-range type in the sense of [Nakamura 2004]. We characterize the wave front set of the solutions to the equation in terms of the classical scattering data and the propagator of the unperturbed harmonic oscillator. In particular, we give a "recurrence of singularities" type theorem for the propagation of the period $t=π$.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0810.1577
dc.identifierhttp://arxiv.org/abs/0810.1577
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171091
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35A10; 35A21; 35Q40; 58J47
dc.titleWave front set for solutions to perturbed harmonic oscillators
dc.typetext

Files

Collections

arXiv