3 papers
math.PR2026
Strong local nondeterminism for stochastic time-fractional slow and fast diffusion equations
Le Chen, Cheuk Yin Lee, Panqiu Xia
We study a class of stochastic time-fractional equations on driven by a centered Gaussian noise, involving a Caputo time derivative of order , a fractional (pow…
math.AP2025
Chemotaxis models with signal-dependent sensitivity and a logistic-type source, I: Boundedness and global existence
Le Chen, Ian Ruau, Wenxian Shen
We study, in Part I of this series, boundedness and global existence of positive classical solutions to a parabolic-elliptic chemotaxis system with signal-dependent sensitivity and…
math.PR2024
On ergodic properties of stochastic PDEs
Le Chen, Cheng Ouyang, Samy Tindel +1
In this note we review several situations in which stochastic PDEs exhibit ergodic properties. We begin with the basic dissipative conditions, as stated by Da Prato and Zabczyk in…