Thesis
Lower Semicontinuity and Young Measures for Integral Functionals with Linear Growth
- Abstract:
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The first contribution of this thesis is a new proof of sequential weak* lower semicontinuity in $\mathrm{BV}(\Omega;\mathbb{R}^m)$ for integral functionals of the form \begin{align*} \mathcal{F}(u) &:= \int_\Omega f(x, \nabla u) \;\mathrm{d} x + \int_\Omega f^\infty \biggl(x, \frac{\mathrm{d} D^s u}{\mathrm{d} |D^s u|} \biggr) \;\mathrm{d} |D^s u| \\ &\qquad+ \int_{\partial\Omega} f^\infty \bigl( x, u|_{\partial \Omega} \otimes n_{\Omega} \bigr) \;\mathrm{d} \mathcal{H}^{d-1...
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Authors
Contributors
+ Kristensen, J
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Bibliographic Details
- Publication date:
- 2011
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- Language:
- English
- Keywords:
- Subjects:
- UUID:
-
uuid:c4736fa2-ab51-4cb7-b1d9-cbab0ede274b
- Local pid:
- ora:6230
- Deposit date:
- 2012-05-11
Terms of use
- Copyright holder:
- Rindler, J
- Copyright date:
- 2011
- Notes:
-
For the parts whose copyright is held by Springer-Verlag: The original (final) publications are available at springerlink.com (DOIs 10.1007/s00205-011-0408-0, 10.1007/s00205-009-0287-9, 10.1007/s00526-009-0250-5).
For the parts whose copyright is held by De Gruyter: The original (final) publication is available at www.reference-global.com (DOI 10.1515/acv.2011.008).
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