Bounds on Sobolev norms for the nonlinear Schrödinger equation on general tori

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dc.creatorCatoire, F.
dc.creatorWang, W. -M.
dc.date2008-09-26
dc.date.accessioned2026-07-07T10:05:46Z
dc.date.available2026-07-07T10:05:46Z
dc.descriptionWe prove Strichartz estimates on general flat d-torus for arbitrary d. Using these estimates, we prove local wellposedness for the cubic nonlinear Schrödinger equations in appropriate Sobolev spaces. In dimensions 2 and 3, we prove polynomial bounds on the possible growth of Sobolev norms of smooth solutions.
dc.identifierhttps://arxiv.org/abs/0809.4633
dc.identifierhttp://arxiv.org/abs/0809.4633
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170107
dc.subjectAnalysis of PDEs
dc.subjectClassical Analysis and ODEs
dc.subject35xx, 42xx
dc.titleBounds on Sobolev norms for the nonlinear Schrödinger equation on general tori
dc.typetext

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