8 citations · 24 across the 7 of their papers we have counts for
7 papers
On classification of singular matrix difference equations of mixed order
Li Zhu, Huaqing Sun, Bing Xie
This paper is concerned with singular matrix difference equations of mixed order. The existence and uniqueness of initial value problems for these equations are derived, and then t…
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…
Ergodicity of stochastic Cahn-Hilliard equations with logarithmic potentials driven by degenerate or nondegenerate noises
Ludovic Goudenège, Bin Xie
We study the asymptotic properties of the stochastic Cahn-Hilliard equation with the logarithmic free energy by establishing different dimension-free Harnack inequalities according…
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…
Fluctuations in an Evolutional Model of Two-Dimensional Young Diagrams
Tadahisa Funaki, Makiko Sasada, Martin Sauer +1
We discuss the non-equilibrium fluctuation problem, which corresponds to the hydrodynamic limit established in \cite{FS}, for the dynamics of two-dimensional Young diagrams associa…