H2 -regularity for a two-dimensional transmission problem with geometric constraint

Originalpublikation

Laurençot, P.; Walker, C.: H2 -regularity for a two-dimensional transmission problem with geometric constraint. In: Mathematische Zeitschrift 302 (2022), Nr. 3, S. 1879-1904. DOI: https://doi.org/10.1007/s00209-022-03115-3

Version im Repositorium

Zum Zitieren der Version im Repositorium verwenden Sie bitte diesen DOI: https://doi.org/10.15488/13717

Thumbnail
Name: s00209-022-03115-3.pdf
Größe: 546.5Kb
Format: PDF
Öffnen
Zusammenfassung:
The H2-regularity of variational solutions to a two-dimensional transmission problem with geometric constraint is investigated, in particular when part of the interface becomes part of the outer boundary of the domain due to the saturation of the geometric constraint. In such a situation, the domain includes some non-Lipschitz subdomains with cusp points, but it is shown that this feature does not lead to a regularity breakdown. Moreover, continuous dependence of the solutions with respect to the domain is established.
Lizenzbestimmungen: CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0
Publikationstyp: Article
Publikationsstatus: publishedVersion
Erstveröffentlichung: 2022
Schlagwörter (englisch): Non-Lipschitz domain, Regularity, Transmission problem
Fachliche Zuordnung (DDC): 510 | Mathematik

Downloadstatistik

Zur Langanzeige

Die Publikation erscheint in Sammlung(en):

 

Suche im Repositorium


Durchblättern

Mein Nutzer/innenkonto

Nutzungsstatistiken