Yue Li

collaborators

3 papers

math.CV2026

$L^{p}$ -- $L^{q}$ estimates for Shimorin-type integral operators

Yuerang Li, Zipeng Wang, Kenan Zhang

Let $I^½$ be a positive measure on $[0, 1]$ . A Shimorin-type operator $T_{I^} ½$ is an integral operator on the unit disk given by \[ T_Î½f(z) = \int_{\mathbb{D}} \frac{1}{1 - z\overline…

nlin.SI2025

Cauchy matrix structures and solutions to the nonisospectral three-component mKdV equations

Mengli Tian, Chunxia Li, Yue Li +2

Nonisospectral integrable systems can describe solitary waves in nonuniform media. In this paper, we apply the Cauchy matrix approach to construct three types of nonisospectral mat…

math.PR2025

Moderate deviation principles for stochastic 2D hydrodynamics-type systems with multiplicative jump noise

Yue Li, Shijie Shang, Jian Wang

This paper establishes a moderate deviation principle for a class of stochastic 2D hydrodynamical-type systems driven by multiplicative jump noise. The proof does not require compa…

Lp--Lq estimates for Shimorin-type integral operators

Cauchy matrix structures and solutions to the nonisospectral three-component mKdV equations

Moderate deviation principles for stochastic 2D hydrodynamics-type systems with multiplicative jump noise

$L^{p}$ -- $L^{q}$ estimates for Shimorin-type integral operators