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Titlebook: Divergence Operator and Related Inequalities; Gabriel Acosta,Ricardo G. Durán Book 2017 The Author(s) 2017 Korn‘s Inequalities.Right Inver

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书目名称Divergence Operator and Related Inequalities
编辑Gabriel Acosta,Ricardo G. Durán
视频video
概述Unified and self-contained presentation of fundamental tools in continuum mechanics.Provides a constructive and descriptive approach to the mathematical framework with a growing level of complexity.Nu
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Divergence Operator and Related Inequalities;  Gabriel Acosta,Ricardo G. Durán Book 2017 The Author(s) 2017 Korn‘s Inequalities.Right Inver
描述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 . .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.
出版日期Book 2017
关键词Korn‘s Inequalities; Right Inverse of the Divergence Operator; Improved Poincare Inequalities; Weighted
版次1
doihttps://doi.org/10.1007/978-1-4939-6985-2
isbn_softcover978-1-4939-6983-8
isbn_ebook978-1-4939-6985-2Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s) 2017
The information of publication is updating

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Book 2017 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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F. Schmäl,M. Nieschalk,E. Nessel,W. Stoll . ∈ ...(.). such that. and . where the constant . depends only on . and .. First we consider the case of domains which are star-shaped with respect to a ball and give the construction introduced by Bogovskiǐ [.]. In his original paper Bogovskiǐ extended the existence of solutions to the case of Lip
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