Energy-supercritical NLS: critical $\dot H^s$-bounds imply scattering

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dc.creatorKillip, Rowan
dc.creatorVisan, Monica
dc.date2008-12-11
dc.date.accessioned2026-07-07T12:11:57Z
dc.date.available2026-07-07T12:11:57Z
dc.descriptionWe consider two classes of defocusing energy-supercritical nonlinear Schrödinger equations in dimensions $d\geq 5$. We prove that if the solution $u$ is apriorily bounded in the critical Sobolev space, that is, $u\in L_t^\infty \dot H^{s_c}_x$, then $u$ is global and scatters.
dc.identifierhttps://arxiv.org/abs/0812.2084
dc.identifierhttp://arxiv.org/abs/0812.2084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210390
dc.subjectAnalysis of PDEs
dc.subject35Q55
dc.titleEnergy-supercritical NLS: critical $\dot H^s$-bounds imply scattering
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