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math.AP2026
Scattering map for the Vlasov--Poisson system with a repulsive harmonic potential
Wenrui Huang, Hyunwoo Kwon
We consider the Vlasov--Poisson system with a repulsive harmonic potential and prove (modified) scattering of solutions for small initial data. Moreover, we construct (modified) wa…
math.AP2024
Decay estimates for Schrödinger's equation with magnetic potentials in three dimensions
Marius Beceanu, Hyun-Kyoung Kwon
In this paper we prove that Schrödinger's equation with a Hamiltonian of the form , which includes a magnetic potential , has the same dispersiv…