4 papers
Radial models in supercritical regimes
Tadahiro Oh, Leonardo Tolomeo, Nikolay Tzvetkov +1
We consider the measure under radial symmetry on the unit ball, formally given by $$dρ(u) = \frac 1 Z \exp\Big( - \frac 14 \int_{B_1} |u|^4 dx - \frac 12 \int_{B_1} |\nabla…
Sharp unconditional well-posedness of the 2- periodic cubic hyperbolic nonlinear Schrödinger equation
Engin Başakoğlu, 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 Fourier…
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 loca…
Optimal divergence rate of the focusing Gibbs measures
Damiano Greco, Guopeng Li, Rui Liang +2
We study Gibbs measures on the -dimensional torus with -(super)critical focusing interaction potentials. We establish a precise divergence rate of the partition function as…