19 citations · 19 across the 4 of their papers we have counts for
8 papers
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…
Nonlinear PDEs with modulated dispersion II: Korteweg-de Vries equation
Khalil Chouk, Massimiliano Gubinelli, Guopeng Li +2
(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 dispersive equatio…
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…
Nonlinear PDEs with modulated dispersion IV: normal form approach and unconditional uniqueness
Massimiliano Gubinelli, Guopeng Li, Jiawei Li +1
We study the modulated Korteweg-de~Vries equation (KdV) on the circle with a time non-homogeneous modulation acting on the linear dispersion term. By adapting the normal form appro…
A remark on the log-Sobolev inequality for the Gibbs measure of the focusing Schrödinger equation
Guopeng Li, Jiawei Li, Leonardo Tolomeo
We consider the question of showing a log-Sobolev inequality for the Gibbs measure of the focusing Schrödinger equation built by Lebowitz-Rose-Speer (1988), formally given by $$ d…