Hung-Ju Kuo

On the fully non-linear elliptic difference equations

In this talk we present the following

1. Estimates of approximation solutions for stability
2. Applications to probability and tessellation of statistics
3. Discretisation for the partial differential equation F(x,u,Du,D²u) = 0
4. The existence of solution of nonlinear difference equation F[u] = F(x,u,Tu) = 0.
5. Iteration method for computing approximation solution
6. Discrete regularity C^2+α for solution of F[u](x) = F(x,L₁u(x),…,L_ku(x)) = ψ(x)