Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation

by William P. Ziemer

Book Overview

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...

• Format: Paperback
• Language: English
• ISBN: 1461269857
• ISBN13: 9781461269854
• Release Date: October 2012
• Publisher: Springer
• Length: 308 Pages
• Weight: 1.03 lbs.
• Dimensions: 0.7" x 6.1" x 9.2"