Hua Zhang

most citedGlobal well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data

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

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2008

Global Well-posedness for the fourth order nonlinear Schrödinger equations with small rough data in high demension

Hua Zhang

For $n \geq 2$ , we establish the smooth effects for the solutions of the linear fourth order Shrödinger equation in anisotropic Lebesgue spaces with $□_{k}$ -decomposition. Using th…

math.AP2008★ 2 cited

Global well-posedness and scattering for the fourth order nonlinear Schrödinger equations with small data

Hua Zhang

For $n \geq 3$ , we study the Cauchy problem for the fourth order nonlinear Schrödinger equations, for which the existence of the scattering operators and the global well-posedness o…

math.AP2008★ 1 cited

Global well-posedness and inviscid limit for the modified Korteweg-de Vries-Burgers equation

Hua Zhang

Considering the Cauchy problem for the modified Korteweg-de Vries-Burgers equation $u_{t} + u_{xxx} + ε ∣ \partial_{x} ∣^{2 α} u = 2 (u^{3})_{x}, u (0) = ϕ$ , where $0 < ε, α \leq 1$ and $u$ is a real-value…