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Weakly Differentiable Functions
William P. Ziemer
€ 114.79
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Description for Weakly Differentiable Functions
Hardcover. The development of Sobolev functions includes an analysis of their continuity properties in terms of Lebesgue points, approximate continuity, and fine continuity, and a discussion of their higher order regularity properties in terms of Lp-derivatives. This book analyses pointwise behavior of Sobolev functions of integer order and BV functions. Series: Graduate Texts in Mathematics. Num Pages: 308 pages, biography. BIC Classification: PBK. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 240 x 164 x 24. Weight in Grams: 634.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer-Verlag New York Inc. United States
Number of pages
324
Format
Hardback
Publication date
1989
Series
Graduate Texts in Mathematics
Condition
New
Number of Pages
308
Place of Publication
New York, NY, United States
ISBN
9780387970172
SKU
V9780387970172
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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