Analytic wave front set for solutions to Schroedinger equation

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dc.creatorMartinez, Andre'
dc.creatorNakamura, Shu
dc.creatorSordoni, Vania
dc.date2007-06-04
dc.date.accessioned2026-07-07T08:04:03Z
dc.date.available2026-07-07T08:04:03Z
dc.descriptionThis paper is a continuation of a previous paper by the same authors, where an analytic smoothing effect was proved for long-range type perturbations of the Laplacian $H_0$ on $\re^n$. In this paper, we consider short-range type perturbations $H$ of the Laplacian on $\re^n$, and we characterize the analytic wave front set of the solution to the Schrödinger equation: $e^{-itH}f$, in terms of that of the free solution: $e^{-itH_0}f$, for $t<0$ in the forward nontrapping region. The same result holds for $t>0$ in the backward nontrapping region. This result is an analytic analogue of results by Hassel and Wunsch and Nakamura.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/0706.0415
dc.identifierhttp://arxiv.org/abs/0706.0415
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129805
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35A21; 35J10; 35Q40
dc.titleAnalytic wave front set for solutions to Schroedinger equation
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