Removable singularities for Lipschitz caloric functions in time varying domains

dc.contributor.author
Mateu, J.
dc.contributor.author
Prat, L.
dc.contributor.author
Tolsa, X.
dc.date.accessioned
2023-06-19T13:53:24Z
dc.date.accessioned
2024-09-19T14:25:31Z
dc.date.available
2023-06-19T13:53:24Z
dc.date.available
2024-09-19T14:25:31Z
dc.date.issued
2021-06-22
dc.identifier.uri
http://hdl.handle.net/2072/535428
dc.description.abstract
In this paper we study removable singularities for regular .1; 1=2/-Lipschitz solutions of the heat equation in time varying domains. We introduce an associated Lipschitz caloric capacity and we study its metric and geometric properties and the connection with the L2 boundedness of the singular integral whose kernel is given by the gradient of the fundamental solution of the heat equation. © 2021 Real Sociedad Matemática Española.
eng
dc.description.sponsorship
Ministerio de Economía y Competitividad, MINECO: MTM-2016-75390. Funding. All authors were supported by 2017-SGR-0395 (Catalonia). L. P. and X. T. were supported by MTM-2016-77635-P (MINECO, Spain), and J. M. was supported by MTM-2016-75390 (MINECO, Spain).
dc.format.extent
42 p.
cat
dc.language.iso
eng
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dc.publisher
European Mathematical Society Publishing House
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dc.relation.ispartof
Revista Matematica Iberoamericana
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dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
heat equation; L2-boundedness; Removable singularities; singular integrals
cat
dc.title
Removable singularities for Lipschitz caloric functions in time varying domains
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dc.type
info:eu-repo/semantics/article
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dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.embargo.terms
cap
cat
dc.identifier.doi
10.4171/RMI/1284
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess


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