Divergence Operator and Related Inequalities

• Main Authors: Acosta, Gabriel (Author), Durán, Ricardo G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2017.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Continuum mechanics.; Analysis.; Continuum Mechanics and Mechanics of Materials.; Classical Mechanics.

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...

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.