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math.AP2025
Invariant Gibbs measures for the one-dimensional quintic nonlinear Schrödinger equation in infinite volume
Bjoern Bringmann, Gigliola Staffilani
We prove the invariance of the Gibbs measure for the defocusing quintic nonlinear Schrödinger equation on the real line. This builds on earlier work by Bourgain, who treated the cu…
math.AP2019★ 9 cited
Global well-posedness for the fifth-order KdV equation in
Bjoern Bringmann, Rowan Killip, Monica Visan
We prove global well-posedness of the fifth-order Korteweg-de Vries equation on the real line for initial data in . By comparison, the optimal regularity for we…
math.AP2018
Almost sure scattering for the radial energy critical nonlinear wave equation in three dimensions
Bjoern Bringmann
We study the Cauchy problem for the radial energy critical nonlinear wave equation in three dimensions. Our main result proves almost sure scattering for radial initial data below…