Extension results for harmonic functions which vanish on cylindrical surfaces (Q1668696)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Extension results for harmonic functions which vanish on cylindrical surfaces |
scientific article; zbMATH DE number 6928654
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extension results for harmonic functions which vanish on cylindrical surfaces |
scientific article; zbMATH DE number 6928654 |
Statements
Extension results for harmonic functions which vanish on cylindrical surfaces (English)
0 references
29 August 2018
0 references
The paper deals with the classical Schwarz reflection principle. This tool allows to extend the domain of definition of a harmonic function vanishing on relatively open subsets of a planar or spherical boundary surface. The authors clearly illustrate recent progress on such kind of results when the harmonic functions are defined on cylinders or annular cylinders. They conclude the paper with some open questions.
0 references
harmonic continuation
0 references
Green function
0 references
cylindrical harmonics
0 references
0 references
0.9771347
0 references
0.9466651
0 references
0.9441185
0 references
0.93744236
0 references
0.91824734
0 references
0 references
0.88759077
0 references
0 references
0.8804025
0 references
