68 citations · 84 across the 5 of their papers we have counts for
5 papers
Global well-posedness and scattering for small data for the 3-d KP-II Cauchy problem
Herbert Koch, Junfeng Li
We study global well-posedness for the Kadomtsev-Petviashvili II equation in three space dimensions with small initial data. The crucial points are new bilinear estimates and the d…
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…
Low regularity solutions of two fifth-order KdV type equations
Wengu Chen, Junfeng Li, Changxing Miao +1
The Kawahara and modified Kawahara equations are fifth-order KdV type equations and have been derived to model many physical phenomena such as gravity-capillary waves and magneto-s…
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 while . We…
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 with . We prove some well-posedness result…