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024 7 $a10.1007/978-1-4939-6985-2
035   $a(CKB)3710000001084294
035   $a(DE-He213)978-1-4939-6985-2
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035   $a(PPN)199764476
035   $a(EXLCZ)993710000001084294
100   $a20170302d2017      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aDivergence operator and related inequalities$b[electronic resource] /$fby Gabriel Acosta, Ricardo G. Durán
205   $a1st ed. 2017.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2017.
215   $a1 online resource (XIII, 124 p. 7 illus.)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311   $a1-4939-6985-4 
311   $a1-4939-6983-8 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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.
330   $aThis Brief is mainly devoted to two classical and related results: the existence of a right inverse of the divergence operator and the so-called Korn Inequalities. It is well known that both results are fundamental tools in the analysis of some classic differential equations, particularly in those arising in fluid dynamics and elasticity. Several connections between these two topics and improved Poincaré inequalities are extensively treated. From simple key ideas the book is growing smoothly in complexity. Beginning with the study of these problems on star-shaped domains the arguments are extended first to John domains and then to Hölder ? domains where the need of weighted spaces arises naturally. In this fashion, the authors succeed in presenting in an unified and concise way several classic and recent developments in the field. These features certainly makes this Brief useful for students, post-graduate students, and researchers as well.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aMechanics
606   $aMechanics, Applied
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aMechanics.
615  0$aMechanics, Applied.
615 14$aAnalysis.
615 24$aSolid Mechanics.
615 24$aClassical Mechanics.
676   $a515.26
700   $aAcosta$b Gabriel$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767351
702   $aDurán$b Ricardo G$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254308903321
996   $aDivergence Operator and Related Inequalities$92238304
997   $aUNINA