Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Elliptic Regularity Theory: A First Course

Elliptic Regularity Theory: A First Course

Beck, Lisa

Paperback

Series: Lecture Notes Of The Unione Matematica Italiana, Book 19

CalculusGeneral Mathematics

ISBN10: 3319274848
ISBN13: 9783319274843
Publisher: Springer
Published: Apr 18 2016
Pages: 201
Weight: 0.68
Height: 0.46 Width: 6.14 Depth: 9.21
Language: English

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.

Also in

General Mathematics

View All