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An Obstacle Problem for Mean Curvature Flow

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.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:15006
Date19 October 2016
CreatorsLogaritsch, Philippe
ContributorsSpadaro, Emanuele, Luckhaus, Stephan, Focardi, Matteo, Universität Leipzig
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis, info:eu-repo/semantics/doctoralThesis, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess

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