Jie Chen

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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 $H^{s} (R), s \geq 0$ , for studying stochastic KdV equations. Different from \cite{de1999w…

math.PR2025

Stochastic SchrÃ¶dinger-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 $H_{x}^{1} \times H_{x}^{1}$ . To get the local well-posedness, we first develop the bili…