X. Yao

collaborators

2 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.AP2024

Global Kato smoothing and Strichartz estimates for higher-order SchrÃ¶dinger operators with rough decay potentials

Haruya Mizutani, Xiaohua Yao

Let $ H = (-Î)^m + V $ be a higher-order elliptic operator on $ L^2(\mathbb{R}^n) $, where $ V $ is a general bounded decaying potential. This paper focuses on the global Ka…

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

Global Kato smoothing and Strichartz estimates for higher-order SchrÃ¶dinger operators with rough decay potentials

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