6 citations · 13 across the 4 of their papers we have counts for
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Global solvability and convergence to stationary solutions in singular quasilinear stochastic PDEs
Tadahisa Funaki, Bin Xie
We consider singular quasilinear stochastic partial differential equations (SPDEs) studied in \cite{FHSX}, which are defined in paracontrolled sense. The main aim of the present ar…
Asymptotics of PDE in random environment by paracontrolled calculus
Tadahisa Funaki, Masato Hoshino, Sunder Sethuraman +1
We apply the paracontrolled calculus to study the asymptotic behavior of a certain quasilinear PDE with smeared mild noise, which originally appears as the space-time scaling limit…
Log-Harnack inequality for reflected SPDEs driven by multiplicative noises and its applications
Bin Xie
We mainly investigate the log-Harnack inequality for the reflected stochastic partial differential equation driven by multiplicative noises based on the gradient estimate of the as…
Some effects of the noise intensity upon non-linear stochastic heat equations on
Bin Xie
Various effects of the noise intensity upon the solution of the stochastic heat equation with Dirichlet boundary conditions on are investigated. We show that for s…