Title: A First Course in Fractional Sobolev Spaces (Graduate Studies in Mathematics)
Publisher: American Mathematical Society
Publication Date: 2023
Language: English
ISBN 10: 1470472538
ISBN 13: 9781470472535
Binding: Soft cover
Condition: New

About this title

Synopsis

This book provides a gentle introduction to fractional Sobolev spaces which play a central role in the calculus of variations, partial differential equations, and harmonic analysis. The first part deals with fractional Sobolev spaces of one variable. It covers the definition, standard properties, extensions, embeddings, Hardy inequalities, and interpolation inequalities. The second part deals with fractional Sobolev spaces of several variables. The author studies completeness, density, homogeneous fractional Sobolev spaces, embeddings, necessary and sufficient conditions for extensions, Gagliardo-Nirenberg type interpolation inequalities, and trace theory. The third part explores some applications: interior regularity for the Poisson problem with the right-hand side in a fractional Sobolev space and some basic properties of the fractional Laplacian. The first part of the book is accessible to advanced undergraduates with a strong background in integration theory; the second part, to graduate students having familiarity with measure and integration and some functional analysis. Basic knowledge of Sobolev spaces would help, but is not necessary. The book can also serve as a reference for mathematicians working in the calculus of variations and partial differential equations as well as for researchers in other disciplines with a solid mathematics background. It contains several exercises and is self-contained.

"About this title" may belong to another edition of this title.

Store Description

Kennys.ie is the largest exporter of books from Ireland currently exporting to approximately 100 countries around the world. Kennys Bookshop houses hundreds of thousands of books and specialises in collection development and library services, supplying booksellers and state and university libraries on a global scale including the U.S.A.,Japan and Europe. Kennys.ie is Ireland's Largest Online Bookshop.

Visit Seller's Storefront

Seller's business information

Kennys Bookshop and Art Galleries Ltd.
Liosban Industrial Estate, Tuam Road, Galway, Ireland

Sale & Shipping Terms

Terms of Sale

Terms of Sale - Credit Cards: Visa, Master Card, American Express, Diner.
Payment can also be made by bank draft in Euros, drawn on an Irish Bank.

We regret that PO Boxes are not acceptable to the U.S. as our courier will not deliver to them.

In case of returns or queries please contact us by email books@kennys.ie or by phone +353 91 709350

VAT Registration - IE2238521A

Conor Kenny

Shipping Terms

Free Shipping

Shipping rates from Ireland to U.S.A.

Shipping rates from Ireland to U.S.A.
Order quantity	12 to 22 business days	10 to 20 business days
First item	US$ 12.25	US$ 13.42

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.