A First Course in Sobolev Spaces

A First Course in Sobolev Spaces
Author :
Publisher : American Mathematical Soc.
Total Pages : 626
Release :
ISBN-10 : 9780821847688
ISBN-13 : 0821847686
Rating : 4/5 (88 Downloads)

Book Synopsis A First Course in Sobolev Spaces by : Giovanni Leoni

Download or read book A First Course in Sobolev Spaces written by Giovanni Leoni and published by American Mathematical Soc.. This book was released on 2009 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without the prerequisite of a course in functional analysis. The first part of this text is devoted to studying functions of one variable. Several of the topics treated occur in courses on real analysis or measure theory. Here, the perspective emphasizes their applications to Sobolev functions, giving a very different flavor to the treatment. This elementary start to the book makes it suitable for advanced undergraduates or beginning graduate students. Moreover, the one-variable part of the book helps to develop a solid background that facilitates the reading and understanding of Sobolev functions of several variables. The second part of the book is more classical, although it also contains some recent results. Besides the standard results on Sobolev functions, this part of the book includes chapters on BV functions, symmetric rearrangement, and Besov spaces. The book contains over 200 exercises.


A First Course in Sobolev Spaces Related Books

A First Course in Sobolev Spaces
Language: en
Pages: 626
Authors: Giovanni Leoni
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking
Functional Analysis, Sobolev Spaces and Partial Differential Equations
Language: en
Pages: 600
Authors: Haim Brezis
Categories: Mathematics
Type: BOOK - Published: 2010-11-02 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of
An Introduction to Sobolev Spaces and Interpolation Spaces
Language: en
Pages: 219
Authors: Luc Tartar
Categories: Mathematics
Type: BOOK - Published: 2007-05-26 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes
Lectures on Elliptic and Parabolic Equations in Sobolev Spaces
Language: en
Pages: 377
Authors: NikolaÄ­ Vladimirovich Krylov
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces. The main areas covered in
Lebesgue and Sobolev Spaces with Variable Exponents
Language: en
Pages: 516
Authors: Lars Diening
Categories: Mathematics
Type: BOOK - Published: 2011-03-29 - Publisher: Springer

DOWNLOAD EBOOK

The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already