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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Fractional Sobolev Spaces and Inequalities

Fractional Sobolev Spaces and Inequalities

Edmunds, D. E.
Evans, W. D.

Hardcover

Series: Cambridge Tracts in Mathematics, Book 230

CalculusGeneral Mathematics

ISBN10: 1009254634
ISBN13: 9781009254632
Publisher: Cambridge University Press
Published: Oct 13 2022
Pages: 168
Weight: 0.92
Height: 0.50 Width: 6.00 Depth: 9.00
Language: English
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.

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