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Edge-boundary problems with singular trace conditions

  • The ellipticity of boundary value problems on a smooth manifold with boundary relies on a two-component principal symbolic structure (sigma(psi), sigma(partial derivative)), consisting of interior and boundary symbols. In the case of a smooth edge on manifolds with boundary, we have a third symbolic component, namely, the edge symbol sigma(boolean AND), referring to extra conditions on the edge, analogously as boundary conditions. Apart from such conditions 'in integral form' there may exist singular trace conditions, investigated in Kapanadze et al., Internal Equations and Operator Theory, 61, 241-279, 2008 on 'closed' manifolds with edge. Here, we concentrate on the phenomena in combination with boundary conditions and edge problem.

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Author:Bert-Wolfgang SchulzeGND, Ya-wei Wei
Document Type:Article
Year of first Publication:2009
Year of Completion:2009
Release Date:2017/03/25
Source:Annals of global analysis and geometry. - ISSN 0232-704X. - 35 (2009), 4, S. 413 - 429
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Peer Review:Referiert