The duality between the gradient and divergence operators on bounded Lipschitz domains

Mikael Kurula; Heiko J. Zwart

The duality between the gradient and divergence operators on bounded Lipschitz domains

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Abstract

This report gives an exact result on the duality of the divergence and gradient operators, when these are considered as operators between $L^2$-spaces on a bounded $n$-dimensional Lipschitz domain. The necessary background is described in detail, with a self-contained exposition.

Original language	Undefined
Place of Publication	Enschede
Publisher	University of Twente, Department of Applied Mathematics
Number of pages	15
Publication status	Published - Oct 2012

Publication series

Name	Memorandum
Publisher	Department of Applied Mathematics, University of Twente
No.	1994
ISSN (Print)	1874-4850
ISSN (Electronic)	1874-4850

Keywords

EWI-22373
MSC-47A05
IR-84362
METIS-296112
MSC-46E35

Access to Document

http://www.math.utwente.nl/publications

Cite this

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KW - MSC-47A05

KW - IR-84362

KW - METIS-296112

KW - MSC-46E35

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T3 - Memorandum

BT - The duality between the gradient and divergence operators on bounded Lipschitz domains

PB - University of Twente, Department of Applied Mathematics

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