Weakly Differentiable Functions | Sobolev Spaces and Functions of Bounded Variation

William P. Ziemer

ISBN 10: 0387970177 / ISBN 13: 9780387970172

Published by Springer, 1989

About this Item

Weakly Differentiable Functions | Sobolev Spaces and Functions of Bounded Variation | William P. Ziemer | Buch | xvi | Englisch | 1989 | Springer | EAN 9780387970172 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand.

Seller Inventory # 104859160

Bibliographic Details

• Title: Weakly Differentiable Functions | Sobolev Spaces and Functions of Bounded Variation
• Publisher: Springer
• Publication Date: 1989
• Language: English
• ISBN 10: 0387970177
• ISBN 13: 9780387970172
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 23D millimeters 241 millimeters width by 160 millimeters height by 23 millimeters depth
• Weight: 664 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

The term "weakly differentiable functions" in the title refers to those inte­ n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP functions or (signed) measures with finite total variation. The former class of functions comprises what is now known as Sobolev spaces, though its origin, traceable to the early 1900s, predates the contributions by Sobolev. Both classes of functions, Sobolev spaces and the space of functions of bounded variation (BV func­ tions), have undergone considerable development during the past 20 years. From this development a rather complete theory has emerged and thus has provided the main impetus for the writing of this book. Since these classes of functions play a significant role in many fields, such as approximation theory, calculus of variations, partial differential equations, and non-linear potential theory, it is hoped that this monograph will be of assistance to a wide range of graduate students and researchers in these and perhaps other related areas. Some of the material in Chapters 1-4 has been presented in a graduate course at Indiana University during the 1987-88 academic year, and I am indebted to the students and colleagues in attendance for their helpful comments and suggestions.