Lower Semicontinuity and Young Measures for Integral Functionals with Linear Growth
<p>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,...
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| Format: | Thesis |
| Language: | English |
| Published: |
2011
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