Xiaohua Yao

collaborators

8 papers

math.AP2026

Decay estimates for the two-dimensional Beam equation with potentials

Shuangshuang Chen, Han Cheng, Zijun Wan +1

This paper establishes time decay estimates for the following two-dimensional beam (plate) equation with a decaying real-valued potential $V$ : \begin{equation*} \partial_t^2 u + (Î…

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

The $L^{p}$ -boundedness of wave operators for higher order SchrÃ¶dinger 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 SchrÃ¶dinger operators $H = (- I^)^{m} + V$ on $R^{n}$ , with $m \geq 2$ and real-valued decaying pote…

math.AP2025

Decay estimates for beam equations with potentials on the line

Shuangshuang Chen, Zijun Wan, Xiaohua Yao

This paper is devoted to the time decay estimates for the following beam equation with a potential on the line: $$ \partial_t^2 u + \left( Î^2 + m^2 + V(x) \right) u = 0, \ \ u(0,…

math.AP2025

$L^{p}$ -boundedness of wave operators for fourth order SchrÃ¶dinger operators with zero resonances on $R^{3}$

Haruya Mizutani, Zijun Wan, Xiaohua Yao

Let $H = I^^{2} + V$ be the fourth-order SchrÃ¶dinger operator on $R^{3}$ with a real-valued fast-decaying potential $V$ . If zero is neither a resonance nor an eigenvalue of $…

Decay estimates for the two-dimensional Beam equation with potentials

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

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

Decay estimates for beam equations with potentials on the line

Lp-boundedness of wave operators for fourth order SchrÃ¶dinger operators with zero resonances on R3

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 $Z$

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

$L^{p}$ -boundedness of wave operators for fourth order SchrÃ¶dinger operators with zero resonances on $R^{3}$