Well-posedness and regularity of the heat equation with Robin boundary conditions in the two-dimensional wedge

Bravin, Marco; Gnann, Manuel V.; Knüpfer, Hans; Masmoudi, Nader; Roodenburg, Floris B.; Sauer, Jonas

doi:10.1080/03605302.2025.2534368

dc.contributor.author	Bravin, Marco
dc.contributor.author	Gnann, Manuel V.
dc.contributor.author	Knüpfer, Hans
dc.contributor.author	Masmoudi, Nader
dc.contributor.author	Roodenburg, Floris B.
dc.contributor.author	Sauer, Jonas
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2025-10-20T07:12:16Z
dc.date.available	2025-10-20T07:12:16Z
dc.date.issued	2025-08-04
dc.identifier.issn	0360-5302
dc.identifier.issn	1532-4133
dc.identifier.uri	https://hdl.handle.net/10902/37916
dc.description.abstract	Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge are established in an L2-setting of monomially weighted spaces. A mathematical framework is developed that allows us to obtain arbitrarily high regularity without a smallness assumption on the opening angle of the wedge. The challenging aspect is that the resolvent problem exhibits two breakings of the scaling invariance, one in the equation and one in the boundary condition.	es_ES
dc.description.sponsorship	MB acknowledges funding from the project Analysis of Moving Contact Lines (AnaCon) (with project number OCENW.M20.194 of the research programme ENW - M) and MVG appreciates funding from the project Codimension two free boundary problems (with project number VI.Vidi.223.019 of the research programme ENW - Vidi) both financed by the Dutch Research Council (NWO). HK gratefully acknowledges support by Germany’s Excellence Strategy EXC-2181/1 – 390900948. NM is supported by NSF grant DMS-1716466 and by Tamkeen under the NYU Abu Dhabi Research Institute grant of the center SITE. FBR is supported by the Vici grant VI.C.212.027 of the NWO.	es_ES
dc.format.extent	37 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Taylor & Francis	es_ES
dc.rights	Attribution 4.0 International	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.source	Communications in Partial Differential Equations, 2025, 50(9), 1099-1134	es_ES
dc.subject.other	Robin boundary conditions	es_ES
dc.subject.other	Non-smooth domain	es_ES
dc.subject.other	Unbounded domain	es_ES
dc.subject.other	Higher regularity	es_ES
dc.subject.other	Heat equation	es_ES
dc.title	Well-posedness and regularity of the heat equation with Robin boundary conditions in the two-dimensional wedge	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publisherVersion	https://doi.org/10.1080/03605302.2025.2534368	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.identifier.DOI	10.1080/03605302.2025.2534368
dc.type.version	publishedVersion	es_ES