Regularity of Lipschitz free boundaries in the alt-Caffarelli problem

Domingo Pasarin, Joan

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/216888

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DC Field	Value	Language
dc.contributor.advisor	Ros, Xavier	-
dc.contributor.author	Domingo Pasarin, Joan	-
dc.date.accessioned	2024-12-03T08:28:10Z	-
dc.date.available	2024-12-03T08:28:10Z	-
dc.date.issued	2024-06-27	-
dc.identifier.uri	https://hdl.handle.net/2445/216888	-
dc.description	Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Curs: 2023-2024. Director: Xavier Ros	ca
dc.description.abstract	In this work we study the regularity of Lipschitz free boundaries in the Alt-Caffarelli problem. We prove that Lipschitz free boundaries are $C^{1, \alpha}$ by exploiting the rescaling invariance of the problem and the initial Lipschitz regularity of the boundary. Moreover, we also show that $C^{1, \alpha}$ boundaries are smooth, which combined with the previous result implies that Lipschitz free boundaries are smooth.	ca
dc.format.extent	39 p.	-
dc.format.mimetype	application/pdf	-
dc.language.iso	eng	ca
dc.rights	cc by-nc-nd (c) Joan Domingo Pasarin, 2024	-
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/	*
dc.source	Màster Oficial - Matemàtica Avançada	-
dc.subject.classification	Funcions harmòniques	cat
dc.subject.classification	Equacions en derivades parcials	cat
dc.subject.classification	Treballs de fi de màster	cat
dc.subject.classification	Problemes de contorn	cat
dc.subject.other	Harmonic functions	eng
dc.subject.other	Partial differential equations	eng
dc.subject.other	Master's thesis	eng
dc.subject.other	Boundary value problems	eng
dc.title	Regularity of Lipschitz free boundaries in the alt-Caffarelli problem	ca
dc.type	info:eu-repo/semantics/masterThesis	ca
dc.rights.accessRights	info:eu-repo/semantics/openAccess	ca
Appears in Collections:	Màster Oficial - Matemàtica Avançada

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