9781009254632

Fractional Sobolev Spaces and Inequalities

Format: Hardcover

ISBN13: 9781009254632

Hardcover|9781009254632


Overview

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.

ISBN-13

9781009254632

ISBN-10

1009254634

Weight

0.88 Pounds

Dimensions

6.00 x 0.50 x 9.00 In

List Price

$125.00

Edition

1st Edition

Format

Hardcover

Language

English

Pages

ix, 157 pages

Publisher

Cambridge University Press

Published On

2022-10-13



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