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arXiv · 2010.07144

Scattering theory for a class of radial focusing inhomogeneous Hartree equations

Tarek Saanouni
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Abstract

This paper studies the asymptotic behavior of global solutions to the generalized Hartree equation $$i\dot u+\Delta u+(I_\alpha *|\cdot|^b|u|^p)|x|^b|u|^{p-2}u=0 .$$ Indeed, using a new approach due to \cite{dm}, one proves the scattering of the above inhomogeneous Choquard equation in the mass-super-critical and energy sub-critical regimes with radial setting.

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Tarek Saanouni. 2020-10-14. Scattering theory for a class of radial focusing inhomogeneous Hartree equations. https://arxiv.org/abs/2010.07144

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