A First Course in Fractional Sobolev Spaces [1 ed.] 2022040942, 9781470468989, 1470472535, 9781470472528

This book provides a gentle introduction to fractional Sobolev spaces which play a central role in the calculus of varia

458 100 6MB

English Pages 586 [605] Year 2023

Table of contents :
Cover
Title page
Copyright
Dedication
Contents
Preface
Part1: Fractional Sobolev spaces in one dimension
Fractional Sobolev spaces in one dimension
Embeddings and interpolation
A bit of wavelets
Rearrangements
Higher order fractional Sobolev spaces in one dimension
Part2: Fractional Sobolev spaces
Fractional Sobolev spaces
Embeddings and interpolation
Further properties
Trace theory
Symmetrization
Higher order fractional Sobolev spaces
Some equivalent seminorms
Part3: Applications
Interior regularity for the Poisson problem
The fractional Laplacian
Bibliography
Index
Back Cover

A First Course in Fractional Sobolev Spaces [1 ed.]
2022040942, 9781470468989, 1470472535, 9781470472528

Author / Uploaded
Giovanni Leoni

Similar Topics
Mathematics
Analysis

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