154 citations · 666 across the 66 of their papers we have counts for
9 papers · 1 filter
Almost conservation laws for stochastic nonlinear Schrödinger equations
Kelvin Cheung, Guopeng Li, Tadahiro Oh
In this paper, we present a globalization argument for stochastic nonlinear dispersive PDEs with additive noises by adapting the -method (= the method of almost conservation law…
On the parabolic and hyperbolic Liouville equations
Tadahiro Oh, Tristan Robert, Yuzhao Wang
We study the two-dimensional stochastic nonlinear heat equation (SNLH) and stochastic damped nonlinear wave equation (SdNLW) with an exponential nonlinearity , forced by…
Comparing the stochastic nonlinear wave and heat equations: a case study
Tadahiro Oh, Mamoru Okamoto
We study the two-dimensional stochastic nonlinear wave equation (SNLW) and stochastic nonlinear heat equation (SNLH) with a quadratic nonlinearity, forced by a fractional derivativ…
On the two-dimensional hyperbolic stochastic sine-Gordon equation
Tadahiro Oh, Tristan Robert, Philippe Sosoe +1
We study the two-dimensional stochastic sine-Gordon equation (SSG) in the hyperbolic setting. In particular, by introducing a suitable time-dependent renormalization for the releva…
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…