Haigen Wu

most citedScattering theory below energy for the cubic fourth-order Schrödinger equation

26 citations · 27 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2009★ 26 cited

Scattering theory below energy for the cubic fourth-order Schrödinger equation

Changxing Miao, Haigen Wu, Junyong Zhang

We investigate the global existence and scattering for the cubic fourth-order Schrödinger equation $i u_{t} + Δ^{2} u + ∣ u ∣^{2} u = 0$ in the low regularity space $H^{s} (R^{n})$ with $s < 2$ . We provi…

math.AP2007★ 1 cited

On the Real Analyticity of the Scattering Operator for the Hartree Equation

Changxing Miao, Haigen Wu, Junyong Zhang

In this paper, we study the real analyticity of the scattering operator for the Hartree equation $i \partial_{t} u = - Δ u + u (V * ∣ u ∣^{2})$ . To this end, we exploit interior and exterior cut-o…