Weakly Differentiable Functions

Name: Weakly Differentiable Functions
Brand: Springer-Verlag New York Inc.
SKU: 9780387970172
Price: 88.01 EUR
Availability: InStock

Sobolev Spaces and Functions of Bounded Variation

Autor: William P. Ziemer

Jazyk:

Väzba: Pevná

Vydavateľ: Springer-Verlag New York Inc.

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88.01 €

The major thrust of this book is the analysis of pointwise behavior of Sobolev functions of integer...

Informácie o knihe

Autor

William P. Ziemer

Jazyk

Angličtina

Väzba

Kniha - Pevná

Stránok

308

EAN

9780387970172

ISBN

0387970177

Enbook ID

01385038

Vydavateľ

Springer-Verlag New York Inc.

Hmotnosť

662

Rozmery

164 x 240 x 24

Kompletný popis

The major thrust of this book is the analysis of pointwise behavior of Sobolev functions of integer order and BV functions (functions whose partial derivatives are measures with finite total variation). The development of Sobolev functions includes an analysis of their continuity properties in terms of Lebesgue points, approximate continuity, and fine continuity as well as a discussion of their higher order regularity properties in terms of Lp-derivatives. This provides the foundation for further results such as a strong approximation theorem and the comparison of Lp and distributional derivatives. Also included is a treatment of Sobolev-Poincaré type inequalities which unifies virtually all inequalities of this type. Although the techniques required for the discussion of BV functions are completely different from those required for Sobolev functions, there are similarities between their developments such as a unifying treatment of Poincaré-type inequalities for BV functions. This book is intended for graduate students and researchers whose interests may include aspects of approximation theory, the calculus of variations, partial differential equations, potential theory and related areas. The only prerequisite is a standard graduate course in real analysis since almost all of the material is accessible through real variable techniques.

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Weakly Differentiable Functions

Sobolev Spaces and Functions of Bounded Variation

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