Global existence for defocusing cubic NLS and Gross-Pitaevskii equations in three dimensional exterior domains

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dc.creatorAnton, Ramona
dc.date2007-01-10
dc.date.accessioned2026-07-07T07:39:51Z
dc.date.available2026-07-07T07:39:51Z
dc.descriptionWe prove global wellposedness in the energy space of the defocusing cubic nonlinear Schroedinger and Gross-Pitaevskii equations on the exterior of a non-trapping domain in dimension 3. The main ingredient is a Strichartz estimate obtained combining a semi-classical Strichartz estimate with a smoothing effect on exterior domains.
dc.identifierhttps://arxiv.org/abs/math/0701304
dc.identifierhttp://arxiv.org/abs/math/0701304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121604
dc.subjectAnalysis of PDEs
dc.titleGlobal existence for defocusing cubic NLS and Gross-Pitaevskii equations in three dimensional exterior domains
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