Normal solvability of elliptic boundary value problems on asymptotically flat manifolds

verfasst von

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.

Externe Organisation(en)

Orta Dogu Technical University
Johannes Gutenberg-Universität Mainz

Typ

Artikel

Journal

Journal of functional analysis

Band

109

Seiten

22-51

Anzahl der Seiten

30

ISSN

0022-1236

Publikationsdatum

10.1992

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Analysis

Elektronische Version(en)

https://doi.org/10.1016/0022-1236(92)90010-G (Zugang: Befristet gesperrt)