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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 5
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Articles

Stability of standing waves for the Klein–Gordon–Hartree equation

Jian ZhangVisual Computing and Virtual Reality Key Laboratory of Sichuan Province, Sichuan Normal University, Chengdu, 610066, China.View further author information
,
Xiaoguang LiVisual Computing and Virtual Reality Key Laboratory of Sichuan Province, Sichuan Normal University, Chengdu, 610066, China.Correspondence[email protected]
View further author information
,
Yonghong WuDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA, 6845, Australia.View further author information
&
Louis CaccettaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA, 6845, Australia.View further author information
Pages 1000-1012 | Received 11 Mar 2015, Accepted 29 Apr 2015, Published online: 22 May 2015
 
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Abstract

In this paper, we study the stability of the standing waves for the Klein–Gordon–Hartree equation

It is shown that the set of ground states with frequency is stable for .

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Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of P.R. China [grant number 11371267]; the Key Project of Chinese Ministry of Education [grant number 211162]; Sichuan Province Science Foundation for Youths [grant number 2012JQ0011].

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