Strichartz estimates for long range perturbations

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dc.creatorBouclet, Jean-Marc
dc.creatorTzvetkov, Nikolay
dc.date2005-09-21
dc.date2006-11-21
dc.date.accessioned2026-07-07T06:43:05Z
dc.date.available2026-07-07T06:43:05Z
dc.descriptionWe study local in time Strichartz estimates for the Schroedinger equation associated to long range perturbations of the flat Laplacian on the euclidean space. We prove that in such a geometric situation, outside of a large ball centered at the origin, the solutions of the Schroedinger equation enjoy the same Strichartz estimates as in the non perturbed situation. The proof is based on the Isozaki-Kitada parametrix construction. If in addition the metric is non trapping, we prove that the Strichartz estimates hold in the whole space.
dc.descriptionto appear in American Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0509489
dc.identifierhttp://arxiv.org/abs/math/0509489
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102282
dc.subjectAnalysis of PDEs
dc.titleStrichartz estimates for long range perturbations
dc.typetext

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