Global wellposedness and scattering for 3D Schrödinger equations with harmonic potential and radial data

Simple item page
dc.creatorXiaoyi, Zhang
dc.date2004-11-19
dc.date.accessioned2026-07-07T05:14:29Z
dc.date.available2026-07-07T05:14:29Z
dc.descriptionIn this paper,we show that spherical bounded energy solution of the defocusing 3D energy critical Schrödinger equation with harmonic potential, $(i\partial_t + \frac Δ2+\frac {|x|^2}2)u=|u|^4u$, exits globally and scatters to free solution in the space $Σ=H^1\bigcap\mathcal F H^1$. We preclude the concentration of energy in finite time by combining the energy decay estimates.
dc.description39 pages
dc.identifierhttps://arxiv.org/abs/math/0411423
dc.identifierhttp://arxiv.org/abs/math/0411423
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73291
dc.subjectAnalysis of PDEs
dc.subject35Q55
dc.titleGlobal wellposedness and scattering for 3D Schrödinger equations with harmonic potential and radial data
dc.typetext

Files

Collections

arXiv