Authors: | Schweizer, Ben |
Title: | On Friedrichs inequality, Helmholtz decomposition, vector potentials, and the div-curl lemma |
Language (ISO): | en |
Abstract: | We study connections between four different types of results that are concerned with vector-valued functions u : Ω→ℝ³ of class L²(Ω) on a domain Ω ⊂ ℝ³: Coercivity results in H^1(Ω) relying on div and curl, the Helmholtz decomposition, the construction of vector potentials, and the global div-curl lemma. |
Subject Headings: | Friedrichs inquality coercivity div-curl lemma compensated compactness |
URI: | http://hdl.handle.net/2003/35839 http://dx.doi.org/10.17877/DE290R-17863 |
Issue Date: | 2016-09-23 |
Appears in Collections: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Files in This Item:
File | Description | Size | Format | |
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Preprint 2016-03.pdf | DNB | 427.79 kB | Adobe PDF | View/Open |
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