Schauder estimate for quasilinear discrete PDEs of parabolic type

Tadahisa Funaki, Sunder Sethuraman

We investigate quasilinear discrete PDEs ${\partial }_{t}u={\Delta }^N\phi (u)+Kf(u)$ of reaction-diffusion type with nonlinear diffusion term defined on an $n$-dimensional unit torus discreti…