Alexandru D. Ionescu

Global well-posedness of the Benjamin–Ono equation in low-regularity spaces

We prove that the Benjamin-Ono initial value problem is globally well-posed in the Sobolev spaces

Global well-posedness of the KP-I initial-value problem in the energy space

H^\sigma_r

On the uniqueness of smooth, stationary black holes in vacuum

,

boundedness of discrete singular Radon transforms

\sigma\geq 0

Agmon-Kato-Kuroda theorems for a large class of perturbations

.

An endpoint estimate for the Kunze-Stein phenomenon and related maximal operators

We prove that the KP-I initial-value problem

A Para-Differential Renormalization Technique for Nonlinear Dispersive Equations

\begin{cases} \partial_tu+\partial_x^3u-\partial_x^{-1}\partial_y^2u+\partial_x(u^2/2)=0 \,\text{ on }\,\mathbb{R}^2_{x,y}\times\mathbb{R}_t;\\ u(0)=\phi, \end{cases}

Singular integrals on symmetric spaces, II

is globally well-posed in the energy space