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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120078We 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.Analysis of PDEsGlobal existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $\R$text