Journal
APPLICABLE ANALYSIS
Volume 92, Issue 10, Pages 2076-2083Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2012.716512
Keywords
Hartree equations; harmonic potential; standing waves; stability
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Funding
- National Science Foundation of China [10771151, 10901115, 11126335]
- Sichuan Provincial Education Department [10ZB003]
- Sichuan Provincial Science, Technology Department [2010JY0057]
- Sichuan Province Science Foundation for Youths [2012JQ0011]
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This article is concerned with the Hartree equations with harmonic potential. By an elaborate mathematical analysis, we obtain a sharp stability threshold of this equation. Then with this threshold, we prove that the standing wave of this equation exists and is stable.
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