Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications
Publication Type
Journal Article
Publication Date
1971
Abstract
Let R be a smooth Riemannian manifold of finite volume, Δ its Laplace (-Beltrami) operator. Canonical direct-sum decompositions of certain subspaces of the Wiener and Royden algebras of R are found, and for biharmonic functions (those for which ΔΔu=0) the decompositions are related to the values of the functions and their Laplacians on appropriate ideal boundaries.
Discipline
Accounting | Applied Mathematics
Publication
Annales de L'Institut Fourier
Volume
21
Issue
3
First Page
217
Last Page
226
ISSN
0373-0956
Identifier
10.5802/aif.387
Publisher
Université de Grenoble
Citation
Kwon, Young Koan; Sario, L.; and Walsh, B..
Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications. (1971). Annales de L'Institut Fourier. 21, (3), 217-226.
Available at: https://ink.library.smu.edu.sg/soa_research/662
Additional URL
https://doi.org/10.5802/aif.387
