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

Author

Anudeep Kumar Arora
Benjamin Dodson
Jason Murphy, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

A. K. Arora et al., "Scattering Below the Ground State for the 2_d Radial Nonlinear Schrödinger Equation," Proceedings of the American Mathematical Society, vol. 148, no. 4, pp. 1653 - 1663, American Mathematical Society, Apr 2020.

The definitive version is available at https://doi.org/10.1090/proc/14824

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