Divergence Operator and Related Inequalities

This Brief is mainly devoted to two classical and related results: the existence of a right inverse of the divergence operator and the so-called Korn Inequalities. It is well known that both results are fundamental tools in the analysis of some classic differential equations, particularly in those a...

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Main Authors: Acosta, Gabriel. (Author, http://id.loc.gov/vocabulary/relators/aut), Durán, Ricardo G. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Series:SpringerBriefs in Mathematics,
Subjects:
Online Access:https://doi.org/10.1007/978-1-4939-6985-2
Table of Contents:
  • Introduction
  • Divergence Operator
  • Korn's Inequalities
  • Singular Domains
  • Basic Equations of Continuum Mechanics
  • Powers of the Distance to the Boundary as Ap Weights
  • An Auxiliary Result on Holder a Domains.