16 citations · 21 across the 2 of their papers we have counts for
5 papers
A remark on triviality for the two-dimensional stochastic nonlinear wave equation
Tadahiro Oh, Mamoru Okamoto, Tristan Robert
We consider the two-dimensional stochastic damped nonlinear wave equation (SdNLW) with the cubic nonlinearity, forced by a space-time white noise. In particular, we investigate the…
On the stochastic nonlinear Schrödinger equations at critical regularities
Tadahiro Oh, Mamoru Okamoto
We consider the Cauchy problem for the defocusing stochastic nonlinear Schrödinger equations (SNLS) with an additive noise in the mass-critical and energy-critical settings. By ada…
Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations with radial initial data
Hiroyuki Hirayama, Shinya Kinoshita, Mamoru Okamoto
In the present paper, we consider the Cauchy problem of the system of quadratic derivative nonlinear Schrödinger equations. This system was introduced by M. Colin and T. Colin (200…
On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities
Tadahiro Oh, Mamoru Okamoto, Oana Pocovnicu
We consider the Cauchy problem for the nonlinear Schrödinger equations (NLS) with non-algebraic nonlinearities on the Euclidean space. In particular, we study the energy-critical N…
Random data Cauchy theory for the fourth order nonlinear Schrödinger equation with cubic nonlinearity
Hiroyuki Hirayama, Mamoru Okamoto
We consider the Cauchy problem for the fourth order nonlinear Schrödinger equation with derivative nonlinearity on ,…