A note on unique continuation for discrete harmonic functions
Analysis of PDEs
2015-03-10 v1
Abstract
In this note we give a quantitative version of the following simple observation: a discrete harmonic function on the lattice may vanish at each point of a large cube without being zero identically, at the same time there is a version of three balls theorem for discrete harmonic functions since they resemble continuous ones on large scales.
Cite
@article{arxiv.1306.1418,
title = {A note on unique continuation for discrete harmonic functions},
author = {Maru Guadie and Eugenia Malinnikova},
journal= {arXiv preprint arXiv:1306.1418},
year = {2015}
}