Guohuan Zhao

collaborators

2 papers

math.PR2026

Persistence and local extinction for superprocesses in random environments

Zhen-Qing Chen, Yan-Xia Ren, Guohuan Zhao

We consider a super-Brownian motion ${X_{t}, t \geq 0}$ in a random environment described by a centered Gaussian field ${W (t, x), t \geq 0, x \in R^{d}}$ whose correlation funct…

math.PR2024

Quantitative estimates for SPDEs on the full space with transport noise and $L^{p}$ -initial data

Dejun Luo, Bin Xie, Guohuan Zhao

For the stochastic linear transport equation with $L^{p}$ -initial data ( $1 < p < 2$ ) on the full space $R^{d}$ , we provide quantitative estimates, in negative Sobolev norms, betwe…

Persistence and local extinction for superprocesses in random environments

Quantitative estimates for SPDEs on the full space with transport noise and Lp-initial data

Quantitative estimates for SPDEs on the full space with transport noise and $L^{p}$ -initial data