The Lebesgue and Sobolev Spaces

Fabio Botelho
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Fabio Botelho: Federal University of Pelotas, Department of Mathematics and Statistics

Chapter Chapter 8 in Functional Analysis and Applied Optimization in Banach Spaces, 2014, pp 175-221 from Springer

Abstract: Abstract The main focus of chapter 8 is the establishment of basic concepts on Lebesgue and Sobolev spaces. The results developed include the classical Sobolev imbedding and trace theorems for a special class of domains.

Keywords: Sobolev Space; Lebesgue; Trace Theorem; Sobolev's Imbedding Theorem; Uniform Convergence Norm (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-06074-3_8

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DOI: 10.1007/978-3-319-06074-3_8

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