3 papers
math.PR2026
The well-posedness of stochastic Korteweg--de Vries equations revisited
Jie Chen, Fan Gu
In this paper, we propose a new view, which leads to almost sure well-posedness in , for studying stochastic KdV equations. Different from \cite{de1999w…
math.AP2025
Strichartz type estimates of the Airy equation
Jie Chen, Fan Gu, Boling Guo
In this article, we show the necessary and sufficient conditions for the inequality , where $$\|u\|_{X^{s,b}}:=\|\hat{u}(τ,ξ)\langle ξ\r…
math.PR2024
Stochastic Schrödinger-Korteweg de Vries systems driven by multiplicative noises
Jie Chen, Fan Gu, Boling Guo
In this paper, we consider the well-posedness of stochastic S-KdV driven by multiplicative noises in . To get the local well-posedness, we first develop the bili…