Exterior domain problems and decomposition of tensor fields in weighted Sobolev spaces


Schwarz, Günter


[img]
Preview
PDF
213_1996.pdf - Published

Download (1MB)

URL: http://ub-madoc.bib.uni-mannheim.de/1702
URN: urn:nbn:de:bsz:180-madoc-17025
Document Type: Working paper
Year of publication: 1996
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Mathematik und Informatik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 35F15 35J55 58A14 ,
Subject headings (SWD): Tensorfeld , Sobolev-Raum , Dekomposition , Hodge-Zerlegung
Abstract: The Hodge decompOsition is a useful tool for tensor analysis on compact manifolds with boundary. This paper aims at generalising the decomposition to exterior domains G ⊂ IR n. Let L 2a Ω k(G) be the space weighted square integrable differential forms with weight function (1 + |χ|²)a, let d a be the weighted perturbation of the exterior derivative and δ a its adjoint. Then L 2a Ω k(G) splits into the orthogonal sum of the subspaces of the d a-exact forms with vanishing tangential component on the boundary, of δ a-coexact forms with vanishing normal component, and harmonic forms, in the sense of d a λ
Additional information:

Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.




+ Citation Example and Export

Schwarz, Günter (1996) Exterior domain problems and decomposition of tensor fields in weighted Sobolev spaces. Open Access [Working paper]
[img]
Preview


+ Search Authors in

+ Download Statistics

Downloads per month over past year

View more statistics



You have found an error? Please let us know about your desired correction here: E-Mail


Actions (login required)

Show item Show item