Cubic nonlinear Schrodinger equation on three dimensional balls with radial data

dc.creatorAnton, Ramona
dc.date2006-08-28
dc.date.accessioned2026-07-07T07:22:14Z
dc.date.available2026-07-07T07:22:14Z
dc.descriptionWe prove wellposedness of the Cauchy problem for the cubic nonlinear Schrodinger equation with Dirichlet boundary conditions and radial data on 3D balls. The main argument is based on a bilinear eigenfunction estimate and the use of $X^{s,b}$ spaces. The last part presents a first attempt to study the non radial case. We prove bilinear estimates for the linear Schrodinger flow with particular initial data.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0608689
dc.identifierhttp://arxiv.org/abs/math/0608689
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115588
dc.subjectAnalysis of PDEs
dc.titleCubic nonlinear Schrodinger equation on three dimensional balls with radial data
dc.typetext

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