Junfeng Li

most citedOn the low regularity of the fifth order Kadomtsev-Petviashvili I equation

14 citations · 16 across the 3 of their papers we have counts for

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math.AP2008

Well-posedness of the Fifth Order Kadomtsev-Petviashvili I Equation in Anisotropic Sobolev Spaces with Nonnegative Indices

Junfeng Li, Jie Xiao

In this paper we establish the local and global well-posedness of the real valued fifth order Kadomstev-Petviashvili I equation in the anisotropic Sobolev spaces with nonnegative i…

math.AP2007★ 14 cited

On the low regularity of the fifth order Kadomtsev-Petviashvili I equation

Wengu Chen, Junfeng Li, Changxing Miao

We consider the fifth order Kadomtsev-Petviashvili I (KP-I) equation as $\partial_{t} u + α \partial_{x}^{3} u + \partial_{x}^{5} u + \partial_{x}^{- 1} \partial_{y}^{2} u + u u_{x} = 0,$ while $α \in R$ . We…

math.AP2007★ 2 cited

The well-posedness of Cauchy problem for dissipative modified Korteweg de Vries equations

Wengu Chen, Junfeng Li, Changxing Miao

In this paper we consider some dissipative versions of the modified Korteweg de Vries equation $u_{t} + u_{xxx} + ∣ D_{x} ∣^{α} u + u^{2} u_{x} = 0$ with $0 < α \leq 3$ . We prove some well-posedness result…