3 papers
math.PR2026
Reflected stochastic partial differential equations with fully local monotone coefficients in infinite dimensional domains
Qi Li, Yue Li, Tusheng Zhang
This paper establishes the well-posedness of stochastic partial differential equations with reflection in an infinite-dimensional ball, within the fully local monotone framework. O…
math.PR2026
Asymptotic Log-Harnack Inequality for Degenerate SPDEs with Reflection
Qi Li, Feng-Yu Wang, Tusheng Zhang
By constructing a suitable coupling by change of measures, the asymptotic log- Harnack inequality is established for a class of degenerate SPDEs with reflection. This inequality im…
math.PR2025
Exponential ergodicity of Stochastic Evolution Equations with reflection
Zdzislaw Brzezniak, Qi Li, Tusheng Zhang
In this paper, we establish an exponential ergodicity for stochastic evolution equations with reflection in an infinite dimensional ball. As an application, we obtain the exponenti…