Normal solvability of elliptic boundary value problems on asymptotically flat manifolds

authored by

Albert K. Erkip, Elmar Schrohe

Abstract

Normal solvability is shown for a class of boundary value problems on Riemannian manifolds with noncompact boundary using a concept of weighted pseudodifferential operators and weighted Sobolev spaces together with Lopatinski-Shapiro type boundary conditions. An essential step is to show that the standard normal derivative defined in terms of the Riemannian metric is in fact a weighted pseudodifferential operator of the considered class provided the metric is compatible with the symbols.

External Organisation(s)

Orta Dogu Technical University
Johannes Gutenberg University Mainz

Type

Article

Journal

Journal of functional analysis

Volume

109

Pages

22-51

No. of pages

30

ISSN

0022-1236

Publication date

10.1992

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Analysis

Electronic version(s)

https://doi.org/10.1016/0022-1236(92)90010-G (Access: Embargoed)