Authors: Seelmann, Albrecht
Title: The Laplacian on Cartesian products with mixed boundary conditions
Language (ISO): en
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.
Subject Headings: Tensor product of operators
Mixed boundary condition
Tensor representation of Sobolev spaces
URI: http://hdl.handle.net/2003/40141
http://dx.doi.org/10.17877/DE290R-22016
Issue Date: 2021-03-03
Rights link: https://creativecommons.org/licenses/by/4.0/
Appears in Collections:Lehrstuhl IX Analysis, Mathematische Physik & Dynamische Systeme

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