criticality 1gibbs measures 1harmonic potential 1nonlinear schrodinger equation 1phase transition 1renormalization 1
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math.AP2025
Sharp unconditional well-posedness of the 2- periodic cubic hyperbolic nonlinear Schrödinger equation
Engin BaÅakoÄlu, Tadahiro Oh, Yuzhao Wang
We study semilinear local well-posedness of the two-dimensional periodic cubic hyperbolic nonlinear Schrödinger equation (HNLS) in Fourier-Lebesgue spaces. By employing the Fourie…
math.AP2025
Revisiting Bourgain's probabilistic construction of solutions to the 2- cubic NLS
Tadahiro Oh, Yuzhao Wang
In a seminal paper (1996), Bourgain proved invariance of the Gibbs measure for the defocusing cubic nonlinear Schrödinger equation on the two-dimensional torus by constructing loc…