Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 437, Issue 2, Pages 1159-1175Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2016.01.056
Keywords
Hartree equations; Instability; Standing-wave solutions
Categories
Funding
- NSFC for Young Scholars of China [11301564]
- Zhejiang Provincial NSFC [LQ15A010006]
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We are concerned with the instability of standing-wave solutions e(iota omega t)phi(omega)(x) to the Hartree equation iu(t) + Delta u + gu(vertical bar.vertical bar(-gamma) * (g vertical bar u vertical bar(2))) = 0 for some suitable g(x), where cow is a ground state solution. The instability of standing-wave solutions reveals a balance between omega and gamma. (C) 2016 Elsevier Inc. All rights reserved.
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