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Divergence operator and related ineq...

Acosta, Gabriel.

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Divergence operator and related inequalities

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Divergence operator and related inequalities/ by Gabriel Acosta, Ricardo G. Duran.
作者:	Acosta, Gabriel.
其他作者:	Duran, Ricardo G.
出版者:	New York, NY :Springer New York : : 2017.,
面頁冊數:	xiii, 124 p. :ill., digital ;24 cm.
內容註:	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
標題:	Inequalities (Mathematics) -
電子資源:	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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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.
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