9 citations · 9 across the 3 of their papers we have counts for
5 papers
Stochastic quantization of Liouville conformal field theory
Tadahiro Oh, Tristan Robert, Nikolay Tzvetkov +1
We study a nonlinear stochastic heat equation forced by a space-time white noise on closed surfaces, with nonlinearity . This equation corresponds to the stochastic quantiz…
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 Cauchy problem for the periodic fifth-order KP-I equation
Tristan Robert
The aim of this paper is to investigate the Cauchy problem for the periodic fifth order KP-I equation \[\partial_t u - \partial_x^5 u -\partial_x^{-1}\partial_y^2u + u\partial_x u…
Global well-posedness of partially periodic KP-I equation in the energy space and application
Tristan Robert
In this article, we address the Cauchy problem for the KP-I equation \[\partial_t u + \partial_x^3 u -\partial_x^{-1}\partial_y^2u + u\partial_x u = 0\] for functions periodic in $…