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Divergence Operator and Related Inequalities

Name: Divergence Operator and Related Inequalities
Brand: Springer-Verlag New York Inc.
SKU: 15802209
Price: 80.53 EUR
Availability: InStock
Author: Gabriel Acosta
ISBN: 9781493969838

Gabriel Acosta

Ricardo G. Durán

Language

English

Book Paperback

Libristo code: 15802209

Publishers Springer-Verlag New York Inc., March 2017

This Brief is mainly devoted to two classical and related results: the existence of a right inverse... Full description

Libristo code: 15802209

195 b

80.53 €

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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 Poincaré 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 Hölder 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.