An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions
Analysis of PDEs
2010-03-17 v3
Abstract
We present a new, easy, and elementary proof of Jensen's Theorem on the uniqueness of infinity harmonic functions. The idea is to pass to a finite difference equation by taking maximums and minimums over small balls.
Keywords
Cite
@article{arxiv.0906.3325,
title = {An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions},
author = {Scott N. Armstrong and Charles K. Smart},
journal= {arXiv preprint arXiv:0906.3325},
year = {2010}
}
Comments
4 pages; comments added, proof simplified