Fall workshop on nonlinear and nonlocal PDEs

Plenary talk

On unique continuation results for discrete partial differential equations

Diana Stan

 Tu, 15:50in  Room 520for  50min

In this talk we discuss how the unique continuation property fails for some discrete elliptic partial differential equations, while it is true for the continuous version of these PDEs under suitable regularity assumptions. As important tools, we present three balls inequalities and logarithmic convexity estimates for discrete magnetic Schrödinger operators and functions posed in the d-dimensional scaled meshed hZ^d. We also comment some results on the evolution case, dealing with the semi-discrete heat equation.

This is a joint work with Angkana Rüland, Aingeru Fernández Bertolin and Luz Roncal.

 Overview  Program