154 citations · 666 across the 66 of their papers we have counts for
82 papers
On probabilistic ill-posedness
Tadahiro Oh, Nikolay Tzvetkov
In this note, we introduce an enhanced notion of probabilistic well-posedness for dispersive PDEs with random initial data by imposing stability at the origin as the amplitude of r…
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…
Global dynamics for the stochastic KdV equation with white noise as initial data
Tadahiro Oh, Jeremy Quastel, Philippe Sosoe
We study the stochastic Korteweg-de Vries equation (SKdV) with an additive space-time white noise forcing, posed on the one-dimensional torus. In particular, we construct global-in…
Hyperbolic -model on the plane
Tadahiro Oh, Leonardo Tolomeo, Yuzhao Wang +1
We study the hyperbolic -model on the plane. By establishing coming down from infinity for the associated stochastic nonlinear heat equation (SNLH) on the plane, we firs…
On the deep-water and shallow-water limits of the intermediate long wave equation from a statistical viewpoint
Guopeng Li, Tadahiro Oh, Guangqu Zheng
(Due to the limit on the number of characters for an abstract set by arXiv, the full abstract can not be displayed here. See the abstract in the paper.) We study convergence proble…
A note on products of stochastic objects
Tadahiro Oh, Younes Zine
In recent study of partial differential equations (PDEs) with random initial data and singular stochastic PDEs with random forcing, it is essential to study the regularity property…