110 citations · 484 across the 51 of their papers we have counts for
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Local Well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces
Zihua Guo
We prove that the Cauchy problem for the dispersion generalized Benjamin-Ono equation \[\partial_t u+|\partial_x|^{1+α}\partial_x u+uu_x=0,\ u(x,0)=u_0(x),\] is locally well-posed…
Global Well-posedness of Korteweg-de Vries equation in
Zihua Guo
We prove that the Korteweg-de Vries initial-value problem is globally well-posed in and the modified Korteweg-de Vries initial-value problem is globally well-posed i…
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}{…
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…
Global well posedness and inviscid limit for the Korteweg-de Vries-Burgers equation
Zihua Guo, Baoxiang Wang
Considering the Cauchy problem for the Korteweg-de Vries-Burgers equation \begin{eqnarray*} u_t+u_{xxx}+ε|\partial_x|^{2α}u+(u^2)_x=0, \ u(0)=ϕ, \end{eqnarray*} where …
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…
Boundedness of Commutators of Riesz Transforms associated to Schrödinger Operator
Zihua Guo, Pengtao Li, Lizhong Peng
In this paper we consider boundedness of some commutators of Riesz transforms associated to Schrödinger operator on . We assume that …