collaborators

4 papers

math.PR2024

Critical threshold for weakly interacting log-correlated focusing Gibbs measures

Damiano Greco, Tadahiro Oh, Liying Tao +1

We study log-correlated Gibbs measures on the -dimensional torus with weakly interacting focusing quartic potentials whose coupling constants tend to as we remove regulariza…

math.AP2024

Global well-posedness of the energy-critical stochastic nonlinear Schrödinger equation on the three-dimensional torus

Guopeng Li, Mamoru Okamoto, Liying Tao

We study the Cauchy problem of the defocusing energy-critical stochastic nonlinear Schrödinger equation (SNLS) on the three dimensional torus, forced by an additive noise. We adapt…

math.AP2023

Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation

Guopeng Li, Liying Tao, Tengfei Zhao

We consider the Cauchy problem for the stochastic Hartree nonlinear wave equations (SHNLW) with a cubic convolution nonlinearity and an additive stochastic forcing on the Euclidean…

math.AP2023

Almost sure scattering for defocusing energy critical Hartree equation on

Liying Tao, Tengfei Zhao

We consider the defocusing energy-critical Hartree equation $i\pa_tu+Δu=(|\cdot|^{-4}\ast|u|^2)u$ in spatial dimension and prove almost sure scattering with initial data $u_0…