Weakly differentiable functions
William P. Ziemer
Reading Time
at 250 WPM5h 32m
The average reader, reading at a speed of 250 WPM, would take 5h 32m to read Weakly differentiable functions.
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12
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332
total minutes
Weakly differentiable functions
Published
Oct 03, 2012
Publisher
Springer
Pages
332
ISBN-13
9781461269854
ISBN-10
1461269857
Description
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.
Subjects
Minimal surfaces and functions of bounded variation
Functions of bounded variation and free discontinuity problems
Relativization of some aspects of the theory of functions of bounded variation
Bounded variation and around
Approximation of free-discontinuity problems
Imersões mínimas completas em R3 do gênero um e curvatura total finita
Frequently Asked Questions
How many pages are in Weakly differentiable functions?
This edition of Weakly differentiable functions has approximately 332 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Weakly differentiable functions?
For most readers, Weakly differentiable functions typically takes between 6h 55m and 4h 37m to complete. This is based on the book's length of approximately 83,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 5h 32m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 12 days • Estimated word count: 83,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Weakly differentiable functions?
The estimated word count for Weakly differentiable functions is approximately 83,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Weakly differentiable functions?
Weakly differentiable functions was written by William P. Ziemer.
When was Weakly differentiable functions published?
The publication date for this specific edition is Oct 03, 2012. The original work may have been published on a different date.