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Elliptic Regularity Theory: A First Course by Lisa Beck (Paperback, 2016)

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About this product

Product Information

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 the current state of the art concerning the size of the singular set on which discontinuities may occur. The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics.

Product Identifiers

Publisher
Springer International Publishing Ag
ISBN-13
9783319274843
eBay Product ID (ePID)
221386845

Product Key Features

Author
Lisa Beck
Publication Name
Elliptic Regularity Theory: a First Course
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2016
Type
Textbook
Number of Pages
201 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
19
Item Weight
3343g

Additional Product Features

Title_Author
Lisa Beck
Series Title
Lecture Notes of the Unione Matematica Italiana
Country/Region of Manufacture
Switzerland

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