Fractional Sobolev spaces and inequalities /

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:	Sobolev spaces. Inequalities (Mathematics) Differential equations. Integral equations. Dynamics. Inequalities (Mathematics) Sobolev spaces.
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."--

Eckhart

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Call Number:	QA323.E257 2023
c.1	Available Loan period: standard loan Request for Pickup Need help? - Ask a Librarian