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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-100821847686
ISBN-139780821847688
eBay Product ID (ePID)73570179
Product Key Features
Number of Pages608 Pages
LanguageEnglish
Publication NameFirst Course in Sobolev Spaces
SubjectFunctional Analysis
Publication Year2009
TypeTextbook
AuthorGiovanni Leoni
Subject AreaMathematics
SeriesGraduate Studies in Mathematics Ser.
FormatHardcover
Dimensions
Item Height0.6 in
Item Weight23.5 Oz
Item Length9.8 in
Item Width5.9 in
Additional Product Features
LCCN2009-007620
Dewey Edition23
TitleLeadingA
Series Volume Number105
IllustratedYes
Dewey Decimal515/.782
SynopsisSobolev spaces are a fundamental tool in the modern study of partial differential equations. This book 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., 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.
LC Classification NumberQA323.L46 2009
