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.PR2025
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…
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}(Ï,ξ)\langle Î…