Date of Award
2011
Embargo Period
10-18-2011
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematical Sciences
Advisor(s)
Giovanni Leoni
Second Advisor
Irene Fonseca
Third Advisor
Dejan Slepcev
Fourth Advisor
Mohammad Reza Pakzad
Abstract
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.
Recommended Citation
Spector, Daniel, "Characterization of Sobolev and BV Spaces" (2011). Dissertations. Paper 78.
http://repository.cmu.edu/dissertations/78