Title

Scattering Below the Ground State for the 2d Radial Nonlinear Schrödinger Equation

Abstract

We revisit the problem of scattering below the ground state threshold for the mass-supercritical focusing nonlinear Schrödinger equation in two space dimensions. We present a simple new proof that treats the case of radial initial data. The key ingredient is a localized virial/Morawetz estimate; the radial assumption aids in controlling the error terms resulting from the spatial localization.

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0002-9939; 1088-6826

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2020 American Mathematical Society, All rights reserved.

Publication Date

01 Apr 2020

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