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...

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Bibliographic Details
Main Author: Beck, Lisa
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Lecture Notes of the Unione Matematica Italiana
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preliminaries
  • Introduction to the Setting
  • The Scalar Case
  • Foundations for the Vectorial Case
  • Partial Regularity Results for Quasilinear Systems