Xiaohua Yao

activity

20212026

collaborators

Showing 2025Show all

5 papers · 1 filter

math.AP2025

The $ℓ^{p}$ -boundedness of wave operators for the fourth order Schrödinger operators on the lattice $Z$

Sisi Huang, Xiaohua Yao

This paper investigates the $ℓ^{p}$ boundedness of wave operators $W_{\pm} (H, Δ^{2})$ associated with discrete fourth-order Schrödinger operators $H = Δ^{2} + V$ on the lattice $\mathbb{…

math.AP2025

Decay estimates for discrete bi-Laplace operators with potentials on the lattice $Z$

Sisi Huang, Xiaohua Yao

It is known that the discrete Laplace operator $Δ$ on the lattice $Z$ satisfies the following sharp time decay estimate: $$\big\|e^{itΔ}\big\|_{\ell^1\rightarrow\ell^{\inf…

math.AP2025

The $L^{p}$ -boundedness of wave operators for higher order Schrödinger operator with zero singularities in low odd dimensions

Han Cheng, Avy Soffer, Zhao Wu +1

This paper investigates the $L^{p}$ -bounds of wave operators for higher-order Schrödinger operators $H = (- Δ)^{m} + V$ on $R^{n}$ , with $m \geq 2$ and real-valued decaying potent…

math.AP2025

The $L^{p}$ -boundedness of wave operators for nonhomogeneous fourth-order Schrödinger operators in high dimensions

Zijun Wan, Xiaohua Yao

This paper investigates the $L^{p}$ -boundedness of wave operators associated with the nonhomogeneous fourth-order Schödinger operator $H = Δ^{2} - Δ + V (x)$ on $R^{n}$ . Assuming…

math.AP2025

Decay estimates for discrete bi-Schrödinger operators on the lattice $Z$

Sisi Huang, Xiaohua Yao

It is known that the discrete Laplace operator $Δ$ on the lattice $Z$ satisfies the following sharp time decay estimate: $$\left\|e^{itΔ}\right\|_{\ell^1\rightarrow\ell^{\…

The ℓp-boundedness of wave operators for the fourth order Schrödinger operators on the lattice Z

Decay estimates for discrete bi-Laplace operators with potentials on the lattice Z

The Lp-boundedness of wave operators for higher order Schrödinger operator with zero singularities in low odd dimensions

The Lp-boundedness of wave operators for nonhomogeneous fourth-order Schrödinger operators in high dimensions

Decay estimates for discrete bi-Schrödinger operators on the lattice Z

The $ℓ^{p}$ -boundedness of wave operators for the fourth order Schrödinger operators on the lattice $Z$

Decay estimates for discrete bi-Laplace operators with potentials on the lattice $Z$

The $L^{p}$ -boundedness of wave operators for higher order Schrödinger operator with zero singularities in low odd dimensions

The $L^{p}$ -boundedness of wave operators for nonhomogeneous fourth-order Schrödinger operators in high dimensions

Decay estimates for discrete bi-Schrödinger operators on the lattice $Z$