Výsledky vyhledávání - "Zhao, TengFei"

Report

$L^p$ maximal estimates for Weyl sums with $k\ge3$ on $\mathbb{T}$

Autor: Chen, Xuezhi, Miao, Changxing, Yuan, Jiye, Zhao, Tengfei

In this paper, we study the $L^p$ maximal estimates for the Weyl sums $\sum_{n=1}^{N}e^{2\pi i(nx + n^{k}t)}$ with higher-order $k\ge3$ on $\mathbb{T}$, and obtain the positive and negative results. Especially for the case $k=3$, our result is sharp

Externí odkaz: http://arxiv.org/abs/2408.15527

Zobrazit plný text záznamu

Report

Unconditional deep-water limit of the intermediate long wave equation in low-regularity

Autor: Forlano, Justin, Li, Guopeng, Zhao, Tengfei

In this paper, we establish the unconditional deep-water limit of the intermediate long wave equation (ILW) to the Benjamin-Ono equation (BO) in low-regularity Sobolev spaces on both the real line and the circle. Our main tool is new unconditional un

Externí odkaz: http://arxiv.org/abs/2403.06554

Zobrazit plný text záznamu

Report

Robust single-particle cryo-EM image denoising and restoration

Autor: Zhang, Jing, Zhao, Tengfei, Hu, ShiYu, Zhao, Xin

Cryo-electron microscopy (cryo-EM) has achieved near-atomic level resolution of biomolecules by reconstructing 2D micrographs. However, the resolution and accuracy of the reconstructed particles are significantly reduced due to the extremely low sign

Externí odkaz: http://arxiv.org/abs/2401.01097

Zobrazit plný text záznamu

Report

Fractional Leibniz rule on the torus

Autor: Bényi, Árpád, Oh, Tadahiro, Zhao, Tengfei

Publikováno v: Proc. Amer. Math. Soc. 153 (2025), no. 1, 207-221

We discuss the fractional Leibniz rule for periodic functions on the $d$-dimensional torus, including the endpoint cases. As an application, we present a product estimate, involving distributions of negative regularities.
Comment: 14 pages. Upda

Externí odkaz: http://arxiv.org/abs/2311.07998

Zobrazit plný text záznamu

Report

Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation

Autor: Li, Guopeng, Tao, Liying, Zhao, Tengfei

We consider the Cauchy problem for the stochastic Hartree nonlinear wave equations (SHNLW) with a cubic convolution nonlinearity and an additive stochastic forcing on the Euclidean space. Our goal in this paper is two-fold. (i) We study the defocusin

Externí odkaz: http://arxiv.org/abs/2310.14517

Zobrazit plný text záznamu

Report

Almost sure scattering for defocusing energy critical Hartree equation on $\R^5$

Autor: Tao, Liying, Zhao, Tengfei

We consider the defocusing energy-critical Hartree equation $i\pa_tu+\Delta u=(|\cdot|^{-4}\ast|u|^2)u$ in spatial dimension $d=5$ and prove almost sure scattering with initial data $u_0\in H^s_x(\R^5)$ for any $s\in\R$. The proof relies on the modif

Externí odkaz: http://arxiv.org/abs/2308.13159

Zobrazit plný text záznamu