The Mullins–Sekerka problem via the method of potentials

Escher, Joachim; Matioc, Anca‐Voichita; Matioc, Bogdan‐Vasile

dc.identifier.uri	http://dx.doi.org/10.15488/17151
dc.identifier.uri	https://www.repo.uni-hannover.de/handle/123456789/17279
dc.contributor.author	Escher, Joachim
dc.contributor.author	Matioc, Anca‐Voichita
dc.contributor.author	Matioc, Bogdan‐Vasile
dc.date.accessioned	2024-04-18T07:30:32Z
dc.date.available	2024-04-18T07:30:32Z
dc.date.issued	2024
dc.identifier.citation	Escher, J.; Matioc, A.-V.; Matioc, B.-V.: The Mullins–Sekerka problem via the method of potentials. In: Mathematische Nachrichten 297 (2024), Nr. 5, S. 1960-1977. DOI: https://doi.org/10.1002/mana.202300350
dc.description.abstract	It is shown that the two-dimensional Mullins–Sekerka problem is well-posed in all subcritical Sobolev spaces Hr (R) with r ϵ (3/2,2). This is the first result, where this issue is established in an unbounded geometry. The novelty of our approach is the use of the potential theory to formulate the model as an evolution problem with nonlinearities expressed by singular integral operators.	eng
dc.language.iso	eng
dc.publisher	Weinheim : Wiley-VCH
dc.relation.ispartofseries	Mathematische Nachrichten (2024), online first
dc.rights	CC BY 4.0 Unported
dc.rights.uri	https://creativecommons.org/licenses/by/4.0
dc.subject	Mullins–Sekerka	eng
dc.subject	parabolic smoothing	eng
dc.subject	singular integrals	eng
dc.subject	well-posedness	eng
dc.subject.ddc	510 \| Mathematik
dc.title	The Mullins–Sekerka problem via the method of potentials	eng
dc.type	Article
dc.type	Text
dc.relation.essn	1522-2616
dc.relation.issn	0025-584X
dc.relation.doi	https://doi.org/10.1002/mana.202300350
dc.bibliographicCitation.issue	5
dc.bibliographicCitation.volume	297
dc.bibliographicCitation.firstPage	1960
dc.bibliographicCitation.lastPage	1977
dc.description.version	publishedVersion
tib.accessRights	frei zug�nglich