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Fractional Sobolev Spaces And Inequalities D E Edmunds W D Evans

  • SKU: BELL-46664910
Fractional Sobolev Spaces And Inequalities D E Edmunds W D Evans
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Fractional Sobolev Spaces And Inequalities D E Edmunds W D Evans instant download after payment.

Publisher: Cambridge University Press
File Extension: PDF
File size: 1.87 MB
Pages: 169
Author: D. E. Edmunds, W. D. Evans
ISBN: 9781009254632, 1009254634
Language: English
Year: 2023

Product desciption

Fractional Sobolev Spaces And Inequalities D E Edmunds W D Evans by D. E. Edmunds, W. D. Evans 9781009254632, 1009254634 instant download after payment.

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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