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arXiv · 2302.05401

Scattering and blow-up dichotomy of the energy-critical nonlinear Schr\"odinger equation with the inverse-square potential

Masaru Hamano·Masahiro Ikeda
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Abstract

In this paper, we consider the energy critical nonlinear Schr\"odinger equation with a repulsive inverse square potential. In particular, we deal with radial initial data, whose energy is equal to the energy of static solution to the corresponding nonlinear Schr\"odinger equation without a potential. We investigate time behavior of the radial solutions with such initial data.

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Masaru Hamano, Masahiro Ikeda. 2023-02-10. Scattering and blow-up dichotomy of the energy-critical nonlinear Schr\"odinger equation with the inverse-square potential. https://arxiv.org/abs/2302.05401

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