1 citations · 3 across the 11 of their papers we have counts for
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math.AP2017★ 1 cited
Global well-posedness of the Cauchy problem for a fifth-order KP-I equation in anisotropic Sobolev spaces
Yongsheng Li, Wei Yan, Yimin Zhang
In this paper, we consider the Cauchy problem for the fifth-order KP-I equation \begin{align*} u_t + \partial_x^5u+\partial_x^{-1}\partial_y^2u + \frac{1}{2}\partial_x(u^2)=0. \end…
math.AP2017
The Cauchy problem for two dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces
Wei Yan, Yongsheng Li, Jianhua Huang +1
The goal of this paper is three-fold. Firstly, we prove that the Cauchy problem for generalized KP-I equation \begin{eqnarray*} u_{t}+|D_{x}|^α\partial_{x}u+\partial_{x}^{-1}\parti…
math.AP2017★ 1 cited
Random data Cauchy problem for a generalized KdV equation in the supercritical case
Wei Yan, Jinqiao Duan, Jianhua Huang
We consider the Cauchy problem for a generalized KdV equation \begin{eqnarray*} u_{t}+\partial_{x}^{3}u+u^{7}u_{x}=0, \end{eqnarray*} with random data on \R. Kenig, Ponce, Vega(Com…