Some Remarks on the Dirichlet Problem on Infinite Trees
Classical Analysis and ODEs
2023-04-18 v1 Combinatorics
Abstract
We consider the Dirichlet problem on infinite and locally finite rooted trees, and we prove that the set of irregular points for continuous data has zero capacity. We also give some uniqueness results for solutions in Sobolev of the tree.
Keywords
Cite
@article{arxiv.1811.02263,
title = {Some Remarks on the Dirichlet Problem on Infinite Trees},
author = {Nikolaos Chalmoukis and Matteo Levi},
journal= {arXiv preprint arXiv:1811.02263},
year = {2023}
}
Comments
14 pages, 1 figure