Uniqueness theorem for unbounded domain
Z.R.Ashurova, Y.I.Zhuraev
TL;DR
This paper proves a uniqueness theorem for harmonic functions defined in unbounded, band-shaped domains, contributing to the mathematical understanding of harmonic functions in such regions.
Contribution
It introduces a new uniqueness theorem specifically for harmonic functions in unbounded band domains, expanding existing mathematical theory.
Findings
Established a uniqueness theorem for harmonic functions in unbounded band domains
Extended classical harmonic function theory to new unbounded regions
Provided mathematical conditions ensuring uniqueness
Abstract
We prove in this paper the uniqueness theorem for a certain class of harmonic functions defined in unbounded domain lying in a band.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Stability and Controllability of Differential Equations · Numerical methods in inverse problems