96 citations · 107 across the 3 of their papers we have counts for
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math.AP2008★ 4 cited
Global well-posedness and limit behavior for the modified finite-depth-fluid equation
Zihua Guo, Baoxiang Wang
Considering the Cauchy problem for the modified finite-depth-fluid equation $\partial_tu-\G_δ(\partial_x^2u)\mp u^2u_x=0, u(0)=u_0$, where $\G_δf=-i \ft ^{-1}[\coth(2πδξ)-\frac{1}{…
math.AP2008★ 7 cited
Local Well-posedness and a priori bounds for the modified Benjamin-Ono equation without using a gauge transformation
Zihua Guo
We prove that the complex-valued modified Benjamin-Ono (mBO) equation is locally wellposed if the initial data belongs to for with $\normϕ_{L^2}$ sufficiently…
math.AP2008★ 96 cited
Decay estimates for a class of wave equations
Zihua Guo, Lizhong Peng, Baoxiang Wang
In this paper we use a unified way studying the decay estimate for a class of dispersive semigroup given by , where is smooth aw…