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math-ph2010★ 66 cited
Second order corrections to mean field evolution for weakly interacting Bosons in the case of 3-body interactions
Xuwen Chen
In this paper, we consider the Hamiltonian evolution of N weakly interacting Bosons. Assuming triple collisions, its mean field approximation is given by a quintic Hartree equation…
math.AP2010★ 6 cited
Elementary Proofs for Kato Smoothing Estimates of Schrödinger-like Dispersive Equations
Xuwen Chen
In this expository note, we prove some extensions and refinements of classical Kato type estimates with elementary techniques.