18 citations · 18 across the 7 of their papers we have counts for
3 papers · 2 filters
A remark on pathwise well-posedness of the 1- stochastic heat equation
Yufei Shao, Jiawei Li, Tadahiro Oh
We study pathwise well-posedness of the stochastic heat equation (SHE) with a multiplicative noise on the circle. By combining the convolution Young and rough integration theory, i…
Nonlinear PDEs with modulated dispersion III: multiplicative noises
Andreia Chapouto, Massimiliano Gubinelli, Guopeng Li +2
We investigate pathwise well-posedness of the stochastic modulated Korteweg-de Vries equation (KdV) on the circle with a multiplicative noise, where a time non-homogeneous modulati…
Fourier restriction norm method adapted to controlled paths: stochastic wave equations
Andreia Chapouto, Jiawei Li, Tadahiro Oh
We investigate the pathwise well-posedness issue of the stochastic nonlinear wave equation (SNLW) with a multiplicative noise. While the Ito solution theory (= random field solutio…