Title

Threshold Scattering for the 2D Radial Cubic-Quintic NLS

Abstract

We consider the cubic-quintic nonlinear Schrödinger equation in two space dimensions. For this model, X. Cheng established scattering for (Formula presented.) data with mass strictly below that of the ground state for the cubic NLS. Subsequently, R. Carles and C. Sparber utilized the pseudoconformal energy estimate to obtain scattering at the sharp threshold for data belonging to a weighted Sobolev space. In this work, we remove the weighted assumption and establish scattering at the threshold for radial data in (Formula presented.).

Department(s)

Mathematics and Statistics

Keywords and Phrases

Cubic-quintic NLS; scattering; scattering threshold

International Standard Serial Number (ISSN)

0360-5302; 1532-4133

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 Taylor & Francis, All rights reserved.

Publication Date

01 Jan 2021

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