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arXiv · 1811.09768

A new proof of scattering theory for the 3d radial nls with combined terms

Chengbin Xu·Tengfei Zhao
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Abstract

In this paper, we give a simple proof of scattering result for the Schr\"odinger equation with combined term $i\pa_tu+\Delta u=|u|^2u-|u|^4u$ in dimension three, that avoids the concentrate compactness method. The main new ingredient is to extend the scattering criterion to energy-critical.

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Chengbin Xu, Tengfei Zhao. 2018-11-24. A new proof of scattering theory for the 3d radial nls with combined terms. https://arxiv.org/abs/1811.09768

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