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: 978-3-319-27484-3
- EAN: 9783319274843
- Produktnummer: 19073922
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2016
- Seitenangabe: 201 S.
- Masse: H23.5 cm x B15.5 cm x D1.1 cm 335 g
- Abbildungen: Book; Bibliographie
- Reihenbandnummer: 19
- Gewicht: 335
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A First Course
A First Course
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