Hongliang Feng

activity

20172019

collaborators

4 papers

math.AP2019

Dispersive estimates for inhomogeneous fourth-order Schrödinger operator in 3D with zero energy obstructions

Hongliang Feng

We study the $L^{1} - L^{\infty}$ dispersive estimate of the inhomogeneous fourth-order Schrödinger operator $H = Δ^{2} - Δ + V (x)$ with zero energy obstructions in $R^{3}$ . For the r…

math.AP2019

Decay estimates for higher order elliptic operators

Hongliang Feng, Avy Soffer, Zhao Wu +1

This paper is mainly devoted to study time decay estimates of the higher-order Schrödinger type operator $H = (- Δ)^{m} + V (x)$ in $R^{n}$ for $n > 2 m$ and $m \in N$ . For…

math.AP2018

Time Asymptotic expansions of solution for fourth-order Schrödinger equation with zero resonance or eigenvalue

Hongliang Feng, Zhao Wu, Xiaohua Yao

In this paper, we first deduce the asymptotic expansions of resolvent of $H = (- Δ)^{2} + V$ with the presence of resonance or eigenvalue at the degenerate zero threshold for $d \geq 5$ . In…

math.AP2017

Decay Estimates and Strichartz Estimates of Fourth-order Schrödinger Operator

Hongliang Feng, Avy Soffer, Xiaohua Yao

We study time decay estimates of the fourth-order Schrödinger operator $H = (- Δ)^{2} + V (x)$ in $R^{d}$ for $d = 3$ and $d \geq 5$ . We analyze the low energy and high energy behav…