Carnegie Mellon University
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Characterization of Sobolev and BV Spaces

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posted on 2011-01-01, 00:00 authored by Daniel Spector

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.

History

Date

2011-01-01

Degree Type

  • Dissertation

Department

  • Mathematical Sciences

Degree Name

  • Doctor of Philosophy (PhD)

Advisor(s)

Giovanni Leoni,Irene Fonseca,Dejan Slepcev,Mohammad Reza Pakzad

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    Keywords

    Mathematical Sciences

    Licence

    In Copyright

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