24 citations · 199 across the 28 of their papers we have counts for
6 papers · 1 filter
On global well-posedness of the modified KdV equation in modulation spaces
Tadahiro Oh, Yuzhao Wang
We study well-posedness of the complex-valued modified KdV equation (mKdV) on the real line. In particular, we prove local well-posedness of mKdV in modulation spaces $M^{2,p}_{s}(…
Normal form approach to the one-dimensional periodic cubic nonlinear Schrödinger equation in almost critical Fourier-Lebesgue spaces
Tadahiro Oh, Yuzhao Wang
In this paper, we study the one-dimensional cubic nonlinear Schrödinger equation (NLS) on the circle. In particular, we develop a normal form approach to study NLS in almost critic…
Liouville-type theorems for the stationary MHD equations in 2D
Wendong Wang, Yuzhao Wang
This note is devoted to investigating Liouville type properties of the two dimensional stationary incompressible Magnetohydrodynamics equations. More precisely, under smallness con…
Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces
Tadahiro Oh, Yuzhao Wang
In this paper, we first introduce a new function space whose norm is given by the -sum of modulated -norms of a given function. In particular, when $θ< -\f…
Stochastic nonlinear Schrödinger equation with almost space-time white noise
Justin Forlano, Tadahiro Oh, Yuzhao Wang
We study the stochastic cubic nonlinear Schrödinger equation (SNLS) with an additive noise on the one-dimensional torus. In particular, we prove local well-posedness of the (renorm…
On the stochastic nonlinear Schrödinger equations with non-smooth additive noise
Tadahiro Oh, Oana Pocovnicu, Yuzhao Wang
We study the stochastic nonlinear Schrödinger equations with additive stochastic forcing. By using the dispersive estimate, we present a simple argument, constructing a unique loca…