Fractional Sobolev spaces and inequalities /

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Bibliographic Details
Author / Creator:Edmunds, D. E. (David Eric), author.
Imprint:Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2023.
©2023
Description:ix, 157 pages : illustrations ; 24 cm.
Language:English
Series:Cambridge tracts in mathematics ; 230
Cambridge tracts in mathematics ; 230.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/13152894
Hidden Bibliographic Details
Other authors / contributors:Evans, W. D., author.
ISBN:9781009254632
1009254634
9781009254625
9781009254649
Notes:Includes bibliographical references (pages [143]-151) and indexes.
Summary:"The fractional Sobolev spaces studied in the book were introduced in the 1950s by Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between the classical Sobolev spaces. They provide a natural home for solutions of a vast, and rapidly growing, number of questions involving differential equations and non-local effects, ranging from financial modelling to ultra-relativistic quantum mechanics, emphasising the need to be familiar with their fundamental properties and associated techniques. Following an account of the most basic properties of the fractional spaces, two celebrated inequalities, those of Hardy and Rellich, are discussed, first in classical format (for which a survey of the very extensive known results is given), and then in fractional versions. This book will be an Ideal resource for researchers and graduate students working on differential operators and boundary value problems."--

MARC

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100 1 |a Edmunds, D. E.  |q (David Eric),  |e author. 
245 1 0 |a Fractional Sobolev spaces and inequalities /  |c D. E. Edmunds, University of Sussex; W. D. Evans, Cardiff University. 
264 1 |a Cambridge, United Kingdom ;  |a New York, NY :  |b Cambridge University Press,  |c 2023. 
264 4 |c ©2023 
300 |a ix, 157 pages :  |b illustrations ;  |c 24 cm. 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
490 1 |a Cambridge tracts in mathematics ;  |v 230 
504 |a Includes bibliographical references (pages [143]-151) and indexes. 
520 |a "The fractional Sobolev spaces studied in the book were introduced in the 1950s by Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between the classical Sobolev spaces. They provide a natural home for solutions of a vast, and rapidly growing, number of questions involving differential equations and non-local effects, ranging from financial modelling to ultra-relativistic quantum mechanics, emphasising the need to be familiar with their fundamental properties and associated techniques. Following an account of the most basic properties of the fractional spaces, two celebrated inequalities, those of Hardy and Rellich, are discussed, first in classical format (for which a survey of the very extensive known results is given), and then in fractional versions. This book will be an Ideal resource for researchers and graduate students working on differential operators and boundary value problems."--  |c Provided by publisher. 
650 0 |a Sobolev spaces. 
650 0 |a Inequalities (Mathematics) 
650 0 |a Differential equations. 
650 0 |a Integral equations. 
650 0 |a Dynamics. 
650 7 |a Inequalities (Mathematics)  |2 fast  |0 (OCoLC)fst00972020 
650 7 |a Sobolev spaces.  |2 fast  |0 (OCoLC)fst01122115 
700 1 |a Evans, W. D.,  |e author. 
830 0 |a Cambridge tracts in mathematics ;  |v 230. 
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927 |t Library of Congress classification  |a QA323.E257 2023  |l Eck  |c Eck-Eck  |g SEPS  |b 118519577  |i 10508036