The Laplacian on Cartesian products with mixed boundary conditions

dc.contributor.author	Seelmann, Albrecht
dc.date.accessioned	2021-04-06T11:29:17Z
dc.date.available	2021-04-06T11:29:17Z
dc.date.issued	2021-03-03
dc.description.abstract	A 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.identifier.uri	http://hdl.handle.net/2003/40141
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-22016
dc.language.iso	en	de
dc.relation.ispartofseries	Arch. Math.;
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject	Tensor product of operators	en
dc.subject	Mixed boundary condition	en
dc.subject	Tensor representation of Sobolev spaces	en
dc.subject.ddc	510
dc.title	The Laplacian on Cartesian products with mixed boundary conditions	en
dc.type	Text	de
dc.type.publicationtype	article	de
dcterms.accessRights	open access
eldorado.secondarypublication	true	de
eldorado.secondarypublication.primarycitation	Seelmann, A. The Laplacian on Cartesian products with mixed boundary conditions. Arch. Math. (2021).	de
eldorado.secondarypublication.primaryidentifier	https://doi.org/10.1007/s00013-021-01590-4	de

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