Weakly Differentiable Functions

Name: Weakly Differentiable Functions
Brand: Springer, Berlin
SKU: 9781461269854
Price: 67.09 EUR
Availability: InStock

Sobolev Spaces and Functions of Bounded Variation

Автор: William P. Ziemer

Език:

Корици: С меки корици

Издател: Springer, Berlin

Наличност: Външен склад

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67.09 € 131.22 лв

The term "weakly differentiable functions" in the title refers to those inte n grable functions defi...

Информация за книгата

Автор

William P. Ziemer

Език

Английски език

Корици

Книга - С меки корици

Издадена

2012

страници

308

EAN

9781461269854

ISBN

1461269857

Enbook ID

06795034

Издател

Springer, Berlin

Теглоt

510

Размери

154 x 19 x 238

Пълно описание

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.

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Weakly Differentiable Functions

Sobolev Spaces and Functions of Bounded Variation

Информация за книгата

Пълно описание

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