Sisi Huang

collaborators

4 papers

math-ph2026

Counterexamples to the $L^{1}$ and $L^{\infty}$ boundedness of the one-dimensional wave operators

Sisi Huang, Xiaohua Yao

It is well established that the wave operators $W_{\pm} (H, - I^)$ for the one-dimensional SchrÃ¶dinger operator $H = - I^ + V (x)$ are bounded on $L^{p} (R)$ for all $1 < p < \infty$ in…

math.AP2025

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

Sisi Huang, Xiaohua Yao

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

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 $I^$ on the lattice $Z$ satisfies the following sharp time decay estimate: $$\big\|e^{itÎ}\big\|_{\ell^1\rightarrow\ell^{\i…

math.AP2025

Decay estimates for discrete bi-SchrÃ¶dinger operators on the lattice $Z$

Sisi Huang, Xiaohua Yao

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

Counterexamples to the L1 and L∞ boundedness of the one-dimensional wave operators

The ℓp-boundedness of wave operators for the fourth order SchrÃ¶dinger operators on the lattice Z

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

Decay estimates for discrete bi-SchrÃ¶dinger operators on the lattice Z

Counterexamples to the $L^{1}$ and $L^{\infty}$ boundedness of the one-dimensional wave operators

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

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

Decay estimates for discrete bi-SchrÃ¶dinger operators on the lattice $Z$