Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $\R$

Simple item page
dc.creatorColliander, J.
dc.creatorHolmer, J.
dc.creatorVisan, M.
dc.creatorZhang, X.
dc.date2006-12-15
dc.date.accessioned2026-07-07T07:35:23Z
dc.date.available2026-07-07T07:35:23Z
dc.descriptionWe consider the Cauchy problem for a family of semilinear defocusing Schrödinger equations with monomial nonlinearities in one space dimension. We establish global well-posedness and scattering. Our analysis is based on a four-particle interaction Morawetz estimate giving \emph{a priori} $L^8_{t,x}$ spacetime control on solutions.
dc.identifierhttps://arxiv.org/abs/math/0612452
dc.identifierhttp://arxiv.org/abs/math/0612452
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120078
dc.subjectAnalysis of PDEs
dc.titleGlobal existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $\R$
dc.typetext

Files

Collections

arXiv