Global existence and scattering for rough solutions to generalized nonlinear Schr\"odinger equations on
Abstract
We consider the Cauchy problem for a family of semilinear defocusing Schr\"odinger 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 a priori L8t,x spacetime control on solutions.
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