We adress an obstacle problem for (graphical) mean curvature flow with Dirichlet boundary conditions. Using (an adapted form of) the standard implicit time-discretization scheme we derive the existence of distributional solutions satisfying an appropriate variational inequality.
Uniqueness of this flow and asymptotic convergence towards the stationary solution is proven.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:15-qucosa-212196 |
| Date | 25 October 2016 |
| Creators | Logaritsch, Philippe |
| Contributors | Universität Leipzig, Fakultät für Mathematik und Informatik, Prof. Dr. Emanuele Spadaro, Prof. Dr. Stephan Luckhaus, Prof. Dr. Matteo Focardi |
| Publisher | Universitätsbibliothek Leipzig |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:doctoralThesis |
| Format | application/pdf |
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