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.

Included in

Mathematics Commons

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