Asymptotic behavior of positive harmonic functions in certain unbounded domains
Analysis of PDEs
2012-12-13 v2 Complex Variables
Abstract
We derive asymptotic estimates at infinity for positive harmonic functions in a large class of non-smooth unbounded domains. These include domains whose sections, after rescaling, resemble a Lipschitz cylinder or a Lipschitz cone, e.g., various paraboloids and horns.
Keywords
Cite
@article{arxiv.1211.2214,
title = {Asymptotic behavior of positive harmonic functions in certain unbounded domains},
author = {Koushik Ramachandran},
journal= {arXiv preprint arXiv:1211.2214},
year = {2012}
}
Comments
22 pages