On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion

On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion
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分数色散半线性薛定谔和克莱因-戈登方程的基态谱稳定性

DOI:
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发表时间:
2018
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影响因子:
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通讯作者:
A. Stefanov
A. Stefanov
中科院分区:
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文献类型:
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作者:
Wenxing Feng;M. Stanislavova;A. Stefanov

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用非标准形式的色散项考虑各种色散模型的驻波解。利用指数计数计算,结合变分结构的信息,我们开发了这些波的谱稳定性的尖锐条件。
We consider standing wave solutions of various dispersive models with non-standard form of the dispersion terms. Using index count calculations, together with the information from a variational construction, we develop sharp conditions for spectral stability of these waves.