A First Course in Sobolev Spaces (Graduate Studies in

A First Course in Sobolev Spaces (Graduate Studies in Mathematics)

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.

Country	USA
Author	Giovanni Leoni
Binding	Hardcover
EAN	9780821847688
Edition	New ed.
ISBN	0821847686
IsEligibleForTradeIn	1
Label	American Mathematical Society
Manufacturer	American Mathematical Society
NumberOfItems	1
NumberOfPages	607
PublicationDate	2009-07-15
Publisher	American Mathematical Society
SKU	VI-0821847686
Studio	American Mathematical Society
ReleaseDate	0000-00-00

A First Course in Sobolev Spaces (Graduate Studies in Mathematics)