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arXiv · 2104.15035

The radial defocusing energy-supercritical NLS in dimension four

Chao Lu·Jiqiang Zheng
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Abstract

We consider the radial defocusing nonlinear Schr\"odinger equations $iu_t+\Delta u=|u|^{p}u$ with supercritical exponent $p>4$ in four space dimensions, and prove that any radial solution that remains bounded in the critical Sobolev space must be global and scatter.

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Chao Lu, Jiqiang Zheng. 2021-04-30. The radial defocusing energy-supercritical NLS in dimension four. https://doi.org/10.1016/j.jde.2017.01.005

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