The Sobolev-Morawetz approach for the energy scattering of nonlinear Schrödinger-type equations with radial data

Abstract

Based on recent works of Dodson-Murphy [ 12 ] and Arora-Dodson-Murphy [ 3 ], we give a unified approach for the energy scattering with radially symmetric initial data for nonlinear Schrodinger equations and nonlinear Choquard equations in any dimensions \begin{document}$ N\geq 2 $\end{document} . We also discuss its applications for other Schrodinger-type equations.