The Existence of Solutions of a General Boundary Value Problem for the Divergence

Schwarz, Günter

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URL:	https://ub-madoc.bib.uni-mannheim.de/1676
URN:	urn:nbn:de:bsz:180-madoc-16760
Document Type:	Working paper
Year of publication:	1992
The title of a journal, publication series:	None
Publication language:	English
Institution:	School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series:	Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject:	510 Mathematics
Subject headings (SWD):	Divergenz <Vektoranalysis> , Riemannscher Raum , Hodge-Theorie , Differentialform
Abstract:	This paper is concerned with the question of necessary and sufficient conditions to find a vector field V ∈ Γ(T M) solving the equation divV = Φ under inhomogenous boundary conditions V\|ϑM = Z\|∈ Γ(TM). An existence and regularity result is given for an arbitrary Riemannian manifold with boundary, M. The proof is based on the Hodge theory of differential forms.
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Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.

BASE: Schwarz, Günter

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