Weakly Differentiable Functions

Weakly Differentiable Functions
Author :
Publisher : Springer Science & Business Media
Total Pages : 323
Release :
ISBN-10 : 9781461210153
ISBN-13 : 1461210151
Rating : 4/5 (53 Downloads)

Book Synopsis Weakly Differentiable Functions by : William P. Ziemer

Download or read book Weakly Differentiable Functions written by William P. Ziemer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Weakly Differentiable Functions Related Books

Weakly Differentiable Functions
Language: en
Pages: 323
Authors: William P. Ziemer
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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
Approximation of Continuously Differentiable Functions
Language: en
Pages: 257
Authors: J.G. Llavona
Categories: Mathematics
Type: BOOK - Published: 1986-11-01 - Publisher: Elsevier

DOWNLOAD EBOOK

This self-contained book brings together the important results of a rapidly growing area. As a starting point it presents the classic results of the theory. The
Functional Spaces for the Theory of Elliptic Partial Differential Equations
Language: en
Pages: 480
Authors: Françoise Demengel
Categories: Mathematics
Type: BOOK - Published: 2012-01-24 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The theory of elliptic boundary problems is fundamental in analysis and the role of spaces of weakly differentiable functions (also called Sobolev spaces) is es
On Distribution Functions of the Derivatives of Weakly Differentiable Mappings
Language: en
Pages: 7
Authors: Victor J. Mizel
Categories: Differentiable mappings
Type: BOOK - Published: 1993 - Publisher:

DOWNLOAD EBOOK

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