5 citations · 13 across the 12 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AP2021★ 1 cited
Schauder estimate for quasilinear discrete PDEs of parabolic type
Tadahisa Funaki, Sunder Sethuraman
We investigate quasilinear discrete PDEs of reaction-diffusion type with nonlinear diffusion term defined on an -dimensional unit torus discreti…
math.AP2021
Singular limit of an Allen-Cahn equation with nonlinear diffusion
Perla El Kettani, Tadahisa Funaki, Danielle Hilhorst +2
We consider an Allen-Cahn equation with nonlinear diffusion, motivated by the study of the scaling limit of certain interacting particle systems. We investigate its singular limit…
math.PR2021
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…