111 citations
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math.AP2009★ 1 cited
A Sharp Bilinear Estimate for the Bourgain-type Space with Application to the Benjamin Equation
Wengu Chen, Jie Xiao
This note shows the existence of a sharp bilinear estimate for the Bourgain-type space and gives its application to the optimal local well/ill-posedness of the Cauchy problem for t…
math.AP2009★ 1 cited
Carleson measure problems for parabolic Bergman spaces and homogeneous Sobolev spaces
Zhichun Zhai
Let be the space of solutions to the parabolic equation having finite …
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…