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math.AP2015★ 2 cited
Sharp well-posedness and ill-posedness of the Cauchy problem for the higher-order KdV
Wei Yan, Minjie Jiang, Yongsheng Li +1
In this paper, we investigate the Cauchy problem for the higher-order KdV-type equation \begin{eqnarray*} u_{t}+(-1)^{j+1}\partial_{x}^{2j+1}u + \frac{1}{2}\partial_{x}(u^{2}) = 0,…
math.AP2015★ 1 cited
Well-posedness for Stochastic Generalized Fractional Benjamin-Ono Equation
Wei Yan, Jianhua Huang, Boling Guo
This paper is devoted to the Cauchy problem for the stochastic generalized Benjamin-Ono equation. By using the Bourgain spaces and Fourier restriction method and the assumption tha…