A functional analytic perspective to the div-curl Lemma
Waurick, Marcus (2018) A functional analytic perspective to the div-curl Lemma. Journal of Operator Theory, 80 (1). pp. 95-111. ISSN 1841-7744 (http://www.mathjournals.org/jot/2018-080-001/)
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Abstract
We present an abstract functional analytic formulation of the celebrated div-curl lemma found by F. Murat and L. Tartar. The viewpoint in this note relies on sequences for operators in Hilbert spaces. Hence, we draw the functional analytic relation of the div-curl lemma to differential forms and other sequences such as the Grad grad-sequence discovered recently by D. Pauly and W. Zulehner in connection with the biharmonic operator.
ORCID iDs
Waurick, Marcus ORCID: https://orcid.org/0000-0003-4498-3574;-
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Item type: Article ID code: 61295 Dates: DateEvent1 June 2018Published6 July 2017AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 19 Jul 2017 13:49 Last modified: 26 Nov 2024 01:11 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/61295
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