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Boundary triples and quasi boundary triples for elliptic operators
Author(s) -
Behrndt Jussi,
Micheler Till
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110428
Subject(s) - boundary (topology) , neumann boundary condition , mathematics , trace (psycholinguistics) , boundary value problem , mixed boundary condition , robin boundary condition , mathematical analysis , dirichlet boundary condition , pure mathematics , philosophy , linguistics
The abstract concepts of boundary triples and their recent generalizations are useful tools to parametrize the self‐adjoint and maximal dissipative/maximal accumulative extensions of formally symmetric elliptic differential expressions with the help of explicit boundary conditions. In the present note the parametrizations induced by the “natural” quasi boundary triple with the Dirichlet and Neumann trace as boundary maps are compared with the parametrizations induced by a “classical” ordinary boundary triple, where a regularized Neumann trace is used for one of the boundary maps. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)