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arXiv · 2010.07760

Scattering for radial bi-harmonic Hartree equations

Tarek Saanouni
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Abstract

This note studies the asymptotic behavior of global solutions to the fourth-order generalized Hartree equation $$i\dot u+\Delta^2 u\pm(I_\alpha*|u|^p)|u|^{p-2}u=0.$$ Indeed, for both attractive and repulsive sign, the scattering is obtained in the mass super-critical and energy sub-critical regimes, with radial setting.

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Tarek Saanouni. 2020-10-14. Scattering for radial bi-harmonic Hartree equations. https://arxiv.org/abs/2010.07760

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