ENGLISH

Divergence Operator and Related Inequalities

By Gabriel Acosta , Ricardo G. Durán (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2017
ISBN
978-1-4939-6983-8, 978-1-4939-6985-2
DOI
10.1007/978-1-4939-6985-2
Language
english
Format
PDF
Filesize
2 MB (2157156 bytes)
Series
SpringerBriefs in Mathematics
Edition
1
Pages
XIV, 126\132
Time added
2017-04-19 23:42:16
Analysis;Continuum Mechanics and Mechanics of Mate

Description

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.

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