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

2021/06/24 by Tarulli, Mirko, Venkov, George
#35G50 #35J10 #35P25 #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2106.12983

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≥3. We treat both the free and the perturbed by a potential case. As a direct consequence, we obtain large-data scattering in H²(\mathbb R^d)^N, N≥ 1.

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