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arXiv · 2104.09756

Scattering for the non-radial focusing inhomogeneous nonlinear Schr\"odinger-Choquard equation

Chengbin Xu
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Abstract

In this paper, we study the long-time behavior of global solutions to the Schr\"odinger-Choquard equation $$i\partial_tu+\Delta u=-(I_\alpha\ast|\cdot|^b|u|^{p})|\cdot|^b|u|^{p-2}u.$$ Inspired by Murphy, who gave a simple proof of scattering for the non-radial inhomogeneous NLS, we prove scattering theory below the ground state for the intercritical case in energy space without radial assumption.

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Chengbin Xu. 2021-04-20. Scattering for the non-radial focusing inhomogeneous nonlinear Schr\"odinger-Choquard equation. https://arxiv.org/abs/2104.09756

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