Stability and instability of radial standing waves to NLKG equation with an inverse-square potential
Stability and instability of radial standing waves to NLKG equation with an inverse-square potential
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DOI：
10.1007/s00030-023-00844-0
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发表时间：
2021-04
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影响因子：
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通讯作者：
Masaru Hamano;M. Ikeda
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文献类型：
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作者：
Masaru Hamano;M. Ikeda
本文研究了一类具有反平方排斥势的非线性Klein-Gordon方程的径向驻波。对于非线性Klein-Gordon方程的定态问题，已知存在“径向”基态。这里，“径向”基态是在定态方程的所有非平凡径向解中具有最小能量的非平凡解。我们处理的“径向”基态驻波的稳定性和不稳定性。
In this paper, we consider radial standing waves to a nonlinear Klein-Gordon equation with a repulsive inverse-square potential. It is known that there exist “radial” ground states to the stationary problem of the nonlinear Klein-Gordon equation. Here, “radial” ground states are non-trivial solutions having least energy among all non-trivial radial solutions to the stationary equation. We deal with the stability and instability of “radial” ground state standing waves.