Scattering of solutions to the nonlinear Schrödinger equations with regular potentials

Xing Cheng; Ze Li; Lifeng Zhao

doi:10.3934/dcds.2017129

Article Contents

2017, Volume 37, Issue 6: 2999-3023. Doi: 10.3934/dcds.2017129

This issue Previous Article An approximation solvability method for nonlocal semilinear differential problems in Banach spaces Next Article A p-Laplacian supercritical Neumann problem

Scattering of solutions to the nonlinear Schrödinger equations with regular potentials

1.
College of Science, Hohai University, Nanjing 210098, Jiangsu, China
2.
Wu Wen-Tsun Key Laboratory of Mathematics, Chinese Academy of Sciences and Department of Mathematic, University of Science and Technology of China, Hefei 230026, Anhui, China

* Corresponding authorr: Lifeng Zhao
* Corresponding authorr: Lifeng Zhao

Received: November 2016

Revised: January 2017

Published: May 2017

X. Cheng has been partially supported by the NSF grant of China (No. 11526072) and "the Fundamental Research Funds for the Central Universities"(No. 2014B14214). L. Zhao has been partially supported by the NSFC grant of China (No. 10901148, No. 11371337) and by Youth Innovation Promotion Association CAS

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Abstract

In this paper, we prove the scattering of radial solutions to high dimensional energy-critical nonlinear Schrödinger equations with regular potentials in the defocusing case.

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Mathematics Subject Classification: 35Q55.

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