154 citations · 666 across the 66 of their papers we have counts for
6 papers · 2 filters
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…
Uniqueness and non-uniqueness of the Gaussian free field evolution under the two-dimensional Wick ordered cubic wave equation
Tadahiro Oh, Mamoru Okamoto, Nikolay Tzvetkov
We study the nonlinear wave equation (NLW) on the two-dimensional torus with Gaussian random initial data on , ,…
Norm inflation for the cubic nonlinear heat equation above the scaling critical regularity
Ilya Chevyrev, Tadahiro Oh, Yuzhao Wang
We consider the ill-posedness issue for the cubic nonlinear heat equation and prove norm inflation with infinite loss of regularity in the Hölder-Besov space $\mathcal C^s = B^{s}_…
Sharp local well-posedness of the two-dimensional periodic nonlinear Schrödinger equation with a quadratic nonlinearity
Ruoyuan Liu, Tadahiro Oh
We study the nonlinear Schrödinger equation (NLS) with the quadratic nonlinearity , posed on the two-dimensional torus . While the relevant -Strichartz es…