32 citations · 178 across the 24 of their papers we have counts for
25 papers
Norm inflation for the viscous nonlinear wave equation
Pierre de Roubin, Mamoru Okamoto
In this article, we study the ill-posedness of the viscous nonlinear wave equation for any polynomial nonlinearity in negative Sobolev spaces. In particular, we prove a norm inflat…
Sharp well-posedness for the Cauchy problem of the two dimensional quadratic nonlinear Schrödinger equation with angular regularity
Hiroyuki Hirayama, Shinya Kinoshita, Mamoru Okamoto
This paper is concerned with the Cauchy problem of the quadratic nonlinear Schrödinger equation in with the nonlinearity where $η\in \math…
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 , ,…
Stochastic quantization of the -model
Tadahiro Oh, Mamoru Okamoto, Leonardo Tolomeo
(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 the construction o…
Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations in almost critical spaces
Hiroyuki Hirayama, Shinya Kinoshita, Mamoru Okamoto
In this paper, we consider the Cauchy problem of the system of quadratic derivative nonlinear Schrödinger equations introduced by Colin and Colin (2004). We determine an almost opt…
Focusing -model with a Hartree-type nonlinearity
Tadahiro Oh, Mamoru Okamoto, Leonardo Tolomeo
(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.) Lebowitz, Rose, and Speer (…