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Modulational stability of ground states to nonlinear Kirchhoff equations

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成果类型:
期刊论文
作者:
Zhang, Jianjun;Liu, Zhisu;Squassina, Marco*
通讯作者:
Squassina, Marco
作者机构:
[Zhang, Jianjun] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China.
[Liu, Zhisu] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Squassina, Marco] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Musei 41, I-25121 Brescia, Italy.
通讯机构:
[Squassina, Marco] U
Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Musei 41, I-25121 Brescia, Italy.
语种:
英文
关键词:
Kirchhoff equations;Ground state;Modulation stability
期刊:
Journal of Mathematical Analysis and Applications
ISSN:
0022-247X
年:
2019
卷:
477
期:
1
页码:
844-859
基金类别:
NSFCNational Natural Science Foundation of China (NSFC) [11871123, 11271115]
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
We investigate the stability of ground states to a nonlinear focusing Schrodinger equation in presence of a Kirchhoff term. Through a spectral analysis of the linearized operator about ground states, we show a modulation stability estimate of ground states in the spirit of one due to Weinstein (1985) [17]. (C)...

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