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arXiv · 2106.12983

Decay in energy space for the solution of fourth-order Hartree-Fock equations with general non-local interactions

Mirko Tarulli·George Venkov
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Abstract

We prove the decay in the energy space for the solution to the defocusing biharmonic Hartree-Fock equations with mass-supercritical and energy-subcritical Choquard-type nonlinearity in space dimension $d\geq3$. We treat both the free and the perturbed by a potential case. As a direct consequence, we obtain large-data scattering in $H^2(\mathbb R^d)^N, \, N\geq 1$.

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Mirko Tarulli, George Venkov. 2021-06-24. Decay in energy space for the solution of fourth-order Hartree-Fock equations with general non-local interactions. https://arxiv.org/abs/2106.12983

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