Behavior of Biharmonic Functions on Wiener's and Royden's Compactifications
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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | text |
| Language: | English |
| Published: |
Institutional Knowledge at Singapore Management University
1971
|
| Subjects: | |
| Online Access: | https://ink.library.smu.edu.sg/soa_research/662 http://eudml.org/doc/74049 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Singapore Management University |
| Language: | English |
| Summary: | 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. |
|---|