Mathematical Research Letters

Volume 28 (2021)

Number 5

Scattering for the non-radial inhomogeneous NLS

Pages: 1481 – 1504

DOI: https://dx.doi.org/10.4310/MRL.2021.v28.n5.a9

Authors

Changxing Miao (Institute for Applied Physics and Computational Mathematics, Beijing, China)

Jason Murphy (Department of Mathematics & Statistics, Missouri University of Science and Technology, Rolla, Mo., U.S.A.)

Jiqiang Zheng (Institute for Applied Physics and Computational Mathematics, Beijing, China)

Abstract

We extend the result of Farah and Guzmán [16] on scattering for the $3d$ cubic inhomogeneous NLS to the non-radial setting. The key new ingredient is a construction of scattering solutions corresponding to initial data living far from the origin.

Full Text (PDF format)

C.M. was supported by NSFC Grants 11831004 and 11926303. J.M. was supported by a Simons Collaboration Grant. J.Z. was supported by NSFC Grant 11901041.

Received 3 December 2019

Accepted 23 September 2020

Published 16 August 2022