Extension theorems for harmonic functions which vanish on a subset of a cylindrical surface

This paper establishes extension results for functions which are harmonic on a subdomain of an infinite cylinder and vanish on a relatively open subset of the cylindrical surface.(c) 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Automated summary

This paper establishes extension results for functions which are harmonic on a subdomain of an infinite cylinder and vanish on a relatively open subset of the cylindrical surface, contributing to the understanding of functions within cylindrical domains.