Stability of mean convex cones under mean curvature flow


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CLUTTERBUCK, Julie, Oliver Christian SCHNÜRER, 2010. Stability of mean convex cones under mean curvature flow. In: Mathematische Zeitschrift. 267(3-4), pp. 535-547. ISSN 0025-5874

@article{Clutterbuck2010Stabi-19311, title={Stability of mean convex cones under mean curvature flow}, year={2010}, doi={10.1007/s00209-009-0634-4}, number={3-4}, volume={267}, issn={0025-5874}, journal={Mathematische Zeitschrift}, pages={535--547}, author={Clutterbuck, Julie and Schnürer, Oliver Christian} }

<rdf:RDF xmlns:rdf="" xmlns:bibo="" xmlns:dc="" xmlns:dcterms="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:abstract xml:lang="eng">We consider graphical solutions to mean curvature flow and obtain a stability result for homothetically expanding solutions coming out of cones of positive mean curvature. If another solution is initially close to the cone at infinity, then the difference to the homothetically expanding solution becomes small for large times. The proof involves the construction of appropriate barriers.</dcterms:abstract> <dc:creator>Clutterbuck, Julie</dc:creator> <dcterms:issued>2010</dcterms:issued> <dcterms:rights rdf:resource=""/> <dcterms:title>Stability of mean convex cones under mean curvature flow</dcterms:title> <dcterms:available rdf:datatype="">2012-05-16T07:16:59Z</dcterms:available> <bibo:uri rdf:resource=""/> <dc:contributor>Clutterbuck, Julie</dc:contributor> <dcterms:bibliographicCitation>Publ. in: Mathematische Zeitschrift ; 267 (2011), 3-4. - S. 535-547</dcterms:bibliographicCitation> <dc:creator>Schnürer, Oliver Christian</dc:creator> <dc:rights>deposit-license</dc:rights> <dc:date rdf:datatype="">2012-05-16T07:16:59Z</dc:date> <dc:contributor>Schnürer, Oliver Christian</dc:contributor> <dc:language>eng</dc:language> </rdf:Description> </rdf:RDF>

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