Scattering of solutions to nonlinear Schr\"odinger equations with regular potentials

TL;DR

This paper proves that radial solutions to energy-critical nonlinear Schrödinger equations with regular potentials scatter in the defocusing case, advancing understanding of long-term behavior in such systems.

Contribution

It establishes scattering results for radial solutions with regular potentials, a novel extension in the study of nonlinear Schrödinger equations.

Findings

Radial solutions scatter in the energy-critical case.

The results apply to equations with regular potentials.

Advances understanding of long-term dynamics in nonlinear Schrödinger equations.

Abstract

In this paper, we prove the scattering for radial solutions to energy-critical nonlinear Schr\"odinger equations with regular potentials in defocusing case.