Characterization of Sobolev and BV Spaces

This work presents some new characterizations of Sobolev spaces and the space of functions of Bounded Variation. Additionally it gives new proofs of continuity and lower semicontinuity theorems due to Reshetnyak.

Bibliographic Details
Main Author: Spector, Daniel
Format: Others
Published: Research Showcase @ CMU 2011
Subjects:
Online Access:http://repository.cmu.edu/dissertations/78
http://repository.cmu.edu/cgi/viewcontent.cgi?article=1079&context=dissertations