Sisi Huang

collaborators

3 papers

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

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

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 $Z$

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