<> <http://www.w3.org/2000/01/rdf-schema#comment> "The repository administrator has not yet configured an RDF license."^^<http://www.w3.org/2001/XMLSchema#string> . <> <http://xmlns.com/foaf/0.1/primaryTopic> <https://discovery.ucl.ac.uk/id/eprint/1571171> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/AcademicArticle> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/Article> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://purl.org/dc/terms/title> "A local regularity theorem for mean curvature flow with triple edges"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://purl.org/ontology/bibo/abstract> "Mean curvature flow of clusters of n-dimensional surfaces in Rn+k that meet in triples at equal angles along smooth edges and higher order junctions on lower-dimensional faces is a natural extension of classical mean curvature flow. We call such a flow a mean curvature flow with triple edges. We show that if a smooth mean curvature flow with triple edges is weakly close to a static union of three n-dimensional unit density half-planes, then it is smoothly close. Extending the regularity result to a class of integral Brakke flows, we show that this implies smooth short-time existence of the flow starting from an initial surface cluster that has triple edges, but no higher order junctions."^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://purl.org/dc/terms/date> "2020-01" . <https://discovery.ucl.ac.uk/id/document/595803> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/Document> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://purl.org/ontology/bibo/volume> "2020" . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://purl.org/ontology/bibo/issue> "758" . <https://discovery.ucl.ac.uk/id/org/ext-0803ca2d92c57b6af56e25cec65057a5> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://xmlns.com/foaf/0.1/Organization> . <https://discovery.ucl.ac.uk/id/org/ext-0803ca2d92c57b6af56e25cec65057a5> <http://xmlns.com/foaf/0.1/name> "Walter de Gruyter"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://purl.org/dc/terms/publisher> <https://discovery.ucl.ac.uk/id/org/ext-0803ca2d92c57b6af56e25cec65057a5> . <https://discovery.ucl.ac.uk/id/publication/ext-31739fb4c669e5108a079a4837c33c32> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://purl.org/ontology/bibo/Collection> . <https://discovery.ucl.ac.uk/id/publication/ext-31739fb4c669e5108a079a4837c33c32> <http://xmlns.com/foaf/0.1/name> "Journal für die reine und angewandte Mathematik (Crelles Journal)"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://purl.org/dc/terms/isPartOf> <https://discovery.ucl.ac.uk/id/publication/ext-31739fb4c669e5108a079a4837c33c32> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://purl.org/ontology/bibo/status> <http://purl.org/ontology/bibo/status/published> . <https://discovery.ucl.ac.uk/id/eprint/1571171> 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<https://discovery.ucl.ac.uk/id/person/ext-852c9471179154c801932e51139035f6> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://xmlns.com/foaf/0.1/Person> . <https://discovery.ucl.ac.uk/id/person/ext-852c9471179154c801932e51139035f6> <http://xmlns.com/foaf/0.1/givenName> "B"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-852c9471179154c801932e51139035f6> <http://xmlns.com/foaf/0.1/familyName> "White"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-852c9471179154c801932e51139035f6> <http://xmlns.com/foaf/0.1/name> "B White"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-ad774421c15a4a092eba0bc516d9738c> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://xmlns.com/foaf/0.1/Person> . <https://discovery.ucl.ac.uk/id/person/ext-ad774421c15a4a092eba0bc516d9738c> <http://xmlns.com/foaf/0.1/givenName> "F"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-ad774421c15a4a092eba0bc516d9738c> <http://xmlns.com/foaf/0.1/familyName> "Schulze"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/person/ext-ad774421c15a4a092eba0bc516d9738c> <http://xmlns.com/foaf/0.1/name> "F Schulze"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://eprints.org/ontology/EPrint> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://eprints.org/ontology/ArticleEPrint> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://purl.org/dc/terms/isPartOf> <https://discovery.ucl.ac.uk/id/repository> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://eprints.org/ontology/hasDocument> <https://discovery.ucl.ac.uk/id/document/595803> . <https://discovery.ucl.ac.uk/id/document/595803> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> 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<https://discovery.ucl.ac.uk/id/document/595854> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://eprints.org/ontology/Document> . <https://discovery.ucl.ac.uk/id/document/595854> <http://www.w3.org/2000/01/rdf-schema#label> "A local regularity theorem for mean curvature flow with triple edges (Other)"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/document/595854> <http://eprints.org/relation/isVersionOf> <https://discovery.ucl.ac.uk/id/document/595803> . <https://discovery.ucl.ac.uk/id/document/595854> <http://eprints.org/relation/isVolatileVersionOf> <https://discovery.ucl.ac.uk/id/document/595803> . <https://discovery.ucl.ac.uk/id/document/595854> <http://eprints.org/relation/ispreviewThumbnailVersionOf> <https://discovery.ucl.ac.uk/id/document/595803> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://eprints.org/ontology/hasDocument> <https://discovery.ucl.ac.uk/id/document/595855> . <https://discovery.ucl.ac.uk/id/document/595855> 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<http://eprints.org/ontology/Document> . <https://discovery.ucl.ac.uk/id/document/595856> <http://www.w3.org/2000/01/rdf-schema#label> "A local regularity theorem for mean curvature flow with triple edges (Other)"^^<http://www.w3.org/2001/XMLSchema#string> . <https://discovery.ucl.ac.uk/id/document/595856> <http://eprints.org/relation/isVersionOf> <https://discovery.ucl.ac.uk/id/document/595803> . <https://discovery.ucl.ac.uk/id/document/595856> <http://eprints.org/relation/isVolatileVersionOf> <https://discovery.ucl.ac.uk/id/document/595803> . <https://discovery.ucl.ac.uk/id/document/595856> <http://eprints.org/relation/issmallThumbnailVersionOf> <https://discovery.ucl.ac.uk/id/document/595803> . <https://discovery.ucl.ac.uk/id/eprint/1571171> <http://eprints.org/ontology/hasDocument> <https://discovery.ucl.ac.uk/id/document/595857> . <https://discovery.ucl.ac.uk/id/document/595857> <http://www.w3.org/1999/02/22-rdf-syntax-ns#type> <http://eprints.org/ontology/Document> . 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