Elliptic Regularity Theory
A First Course
These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on…
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Produktdetails
- ISBN: 978-3-319-27485-0
- EAN: 9783319274850
- Produktnummer: 19806082
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2016
- Seitenangabe: 201 S.
- Plattform: PDF
- Masse: 2'171 KB
- Auflage: 1st ed. 2016
- Abbildungen: Bibliographie
- Reihenbandnummer: 19
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A First Course
A First Course
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