A Functional Analytic Perspective to the div-curl Lemma
Autor: | Waurick, Marcus |
---|---|
Rok vydání: | 2017 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We present an abstract functional analytic formulation of the celebrated $\dive$-$\curl$ 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. Comment: 18 pages; some typos removed, Remark 2.3 added, Proposition 3.10 clarified |
Databáze: | arXiv |
Externí odkaz: |