Scattering theory for a class of radial focusing inhomogeneous Hartree\n equations

2020/10/14 by Tarek Saanouni, Saanouni, Tarek · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2010.07144

Abstract

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

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• Scattering for the non-radial inhomogeneous Hartree equation with a potential

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