16 citations · 78 across the 15 of their papers we have counts for
20 papers
A remark on randomization of a general function of negative regularity
Tadahiro Oh, Mamoru Okamoto, Oana Pocovnicu +1
In the study of partial differential equations (PDEs) with random initial data and singular stochastic PDEs with random forcing, we typically decompose a classically ill-defined so…
Invariant Gibbs dynamics for two-dimensional fractional wave equations in negative Sobolev spaces
Luigi Forcella, Oana Pocovnicu
We consider a fractional nonlinear wave equations (fNLW) with a general power-type nonlinearity, on the two-dimensional torus. Our main goal is to construct invariant global-in-tim…
Probabilistic local well-posedness of the cubic nonlinear wave equation in negative Sobolev spaces
Tadahiro Oh, Oana Pocovnicu, Nikolay Tzvetkov
We study the three-dimensional cubic nonlinear wave equation (NLW) with random initial data below . By considering the second order expansion in terms of the ran…
On the probabilistic Cauchy theory for nonlinear dispersive PDEs
Árpád Bényi, Tadahiro Oh, Oana Pocovnicu
In this note, we review some of the recent developments in the well-posedness theory of nonlinear dispersive partial differential equations with random initial data.
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…
Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on
Árpád Bényi, Tadahiro Oh, Oana Pocovnicu
We consider the cubic nonlinear Schrödinger equation (NLS) on with randomized initial data. In particular, we study an iterative approach based on a partial power se…