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arXiv · 2104.13575

Stability and instability of radial standing waves to NLKG equation with an inverse-square potential

Masaru Hamano·Masahiro Ikeda
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Abstract

In this paper, we consider radial standing waves to a nonlinear Klein-Gordon equation with a repulsive inverse-square potential. It is known that existence of a "radial" ground state to the stationary problem of the nonlinear Klein-Gordon equation. Here, the "radial" ground state is a solution with the least energy among radial solutions to the stationary problem. We deal with stability and instability of the standing wave for the "radial" ground state.

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Masaru Hamano, Masahiro Ikeda. 2021-04-28. Stability and instability of radial standing waves to NLKG equation with an inverse-square potential. https://arxiv.org/abs/2104.13575

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