Title

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

Publisher

Université de Grenoble

Additional URL

http://eudml.org/doc/74049