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Catalogue Information
Field name	Details
Dewey Class	515
Title	Divergence Operator and Related Inequalities ([EBook]) / by Gabriel Acosta, Ricardo G. Durán.
Author	Acosta, Gabriel
Added Personal Name	Durán, Ricardo G. author.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 2017.
Physical Details	XIII, 124 p. 7 illus. : online resource.
Series	SpringerBriefs in Mathematics 2191-8198
ISBN	9781493969852
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4939-6985-2
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Classical Mechanics . Continuum Mechanics . Continuum Mechanics and Mechanics of Materials . Mathematical analysis . Mathematics . Authors: Acosta, Gabriel . Durán, Ricardo G. . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 515 .

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Divergence Operator and Related Inequalities

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