Xiaohua Yao

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20212026

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Showing 2026 · math.APShow all

4 papers · 2 filters

math.AP2026

Endpoint Mapping Properties of Wave Operators for Schrödinger Operators in Dimensions $n \geq 3$

Han Cheng, Changxing Miao, Xiaohua Yao

We study endpoint mapping properties of low-energy wave operators for Schrödinger operators $H = - Δ + V$ on $R^{n}$ , $n \geq 3$ . In dimension four, we prove that a zero-energy reson…

math.AP2026

Endpoint Mapping Properties of Wave Operators for Two-Dimensional Schrödinger Operators

Han Cheng, Changxing Miao, Xiaohua Yao

We establish sharp endpoint mapping properties for the wave operators $W_{\pm} (H, - Δ)$ of two-dimensional Schrödinger operators $H = - Δ + V$ with real-valued decaying potentials $V$ . Toge…

math.AP2026

Time-Decay Estimates for Two-Dimensional Fourth-Order Schrödinger Operators with Threshold Singularities

Zijun Wan, Xiaohua Yao

We establish time-decay estimates for the two-dimensional fourth-order Schrödinger operator $H = Δ^{2} + V$ with a real-valued decaying potential $V$ , covering all possible zero-energy t…

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 + (Δ…

Endpoint Mapping Properties of Wave Operators for Schrödinger Operators in Dimensions n≥3

Endpoint Mapping Properties of Wave Operators for Two-Dimensional Schrödinger Operators

Time-Decay Estimates for Two-Dimensional Fourth-Order Schrödinger Operators with Threshold Singularities

Decay estimates for the two-dimensional Beam equation with potentials

Endpoint Mapping Properties of Wave Operators for Schrödinger Operators in Dimensions $n \geq 3$