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Divergence operator and related ineq...

Acosta, Gabriel.

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Divergence operator and related inequalities

Record Type:	Electronic resources : Monograph/item
Title/Author:	Divergence operator and related inequalities/ by Gabriel Acosta, Ricardo G. Duran.
Author:	Acosta, Gabriel.
other author:	Duran, Ricardo G.
Published:	New York, NY :Springer New York : : 2017.,
Description:	xiii, 124 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Inequalities (Mathematics) -
Online resource:	http://dx.doi.org/10.1007/978-1-4939-6985-2
ISBN:	9781493969852

Divergence operator and related inequalities
Acosta, Gabriel.

Divergence operator and related inequalities[electronic resource] /by Gabriel Acosta, Ricardo G. Duran. - New York, NY :Springer New York :2017. - xiii, 124 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

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 arising in fluid dynamics and elasticity. Several connections between these two topics and improved Poincare inequalities are extensively treated. From simple key ideas the book is growing smoothly in complexity. Beginning with the study of these problems on star-shaped domains the arguments are extended first to John domains and then to Holder α domains where the need of weighted spaces arises naturally. In this fashion, the authors succeed in presenting in an unified and concise way several classic and recent developments in the field. These features certainly makes this Brief useful for students, post-graduate students, and researchers as well.

ISBN: 9781493969852

Standard No.: 10.1007/978-1-4939-6985-2doiSubjects--Topical Terms:

558383
Inequalities (Mathematics)

LC Class. No.: QA295

Dewey Class. No.: 515.26

Divergence operator and related inequalities
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100 1 $a Acosta, Gabriel. $3 3227405
245 1 0 $a Divergence operator and related inequalities $h [electronic resource] / $c by Gabriel Acosta, Ricardo G. Duran.
260 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2017.
300 $a xiii, 124 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 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.
520 $a 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 arising in fluid dynamics and elasticity. Several connections between these two topics and improved Poincare inequalities are extensively treated. From simple key ideas the book is growing smoothly in complexity. Beginning with the study of these problems on star-shaped domains the arguments are extended first to John domains and then to Holder α domains where the need of weighted spaces arises naturally. In this fashion, the authors succeed in presenting in an unified and concise way several classic and recent developments in the field. These features certainly makes this Brief useful for students, post-graduate students, and researchers as well.
650 0 $a Inequalities (Mathematics) $3 558383
650 0 $a Operator theory. $3 542531
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Analysis. $3 891106
650 2 4 $a Continuum Mechanics and Mechanics of Materials. $3 890989
650 2 4 $a Classical Mechanics. $3 3216970
700 1 $a Duran, Ricardo G. $3 3227406
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u http://dx.doi.org/10.1007/978-1-4939-6985-2
950 $a Mathematics and Statistics (Springer-11649)