1. Eldorado
  2. Fakultäten
  3. 01 Fakultät für Mathematik
  4. Lehrstuhl IX Analysis, Mathematische Physik & Dynamische Systeme
Full metadata record
DC FieldValueLanguage
dc.contributor.authorSeelmann, Albrecht-
dc.date.accessioned2021-04-06T11:29:17Z-
dc.date.available2021-04-06T11:29:17Z-
dc.date.issued2021-03-03-
dc.identifier.urihttp://hdl.handle.net/2003/40141-
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22016-
dc.description.abstractA definition of the Laplacian on Cartesian products with mixed boundary conditions using quadratic forms is proposed. Its consistency with the standard definition for homogeneous and certain mixed boundary conditions is proved and, as a consequence, tensor representations of the corresponding Sobolev spaces of first order are derived. Moreover, a criterion for the domain to belong to the Sobolev space of second order is proved.en
dc.language.isoende
dc.relation.ispartofseriesArch. Math.;-
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.subjectTensor product of operatorsen
dc.subjectMixed boundary conditionen
dc.subjectTensor representation of Sobolev spacesen
dc.subject.ddc510-
dc.titleThe Laplacian on Cartesian products with mixed boundary conditionsen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access-
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1007/s00013-021-01590-4de
eldorado.secondarypublication.primarycitationSeelmann, A. The Laplacian on Cartesian products with mixed boundary conditions. Arch. Math. (2021).de
Appears in Collections:Lehrstuhl IX Analysis, Mathematische Physik & Dynamische Systeme

Files in This Item:
File Description SizeFormat 
Seelmann2021_Article_TheLaplacianOnCartesianProduct.pdfDNB305.18 kBAdobe PDFView/Open


This item is protected by original copyright

View License
Show simple item record


This item is licensed under a Creative Commons License Creative Commons