@article{SchulzeWei2009,
  author    = {Schulze, Bert-Wolfgang and Wei, Ya-wei},
  title     = {Edge-boundary problems with singular trace conditions},
  issn      = {0232-704X},
  doi       = {10.1007/s10455-008-9143-7},
  year      = {2009},
  abstract  = {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.},
  language  = {en}
}
@article{Schulze2009,
  author    = {Schulze, Bert-Wolfgang},
  title     = {On a paper of Krupchyk, Tarkhanov, and Tuomela},
  issn      = {0022-1236},
  doi       = {10.1016/j.jfa.2008.07.024},
  year      = {2009},
  abstract  = {We compare the above-mentioned article with the content of a previous publication},
  language  = {en}
}
@article{DinesLiuSchulze2009,
  author    = {Dines, Nicoleta and Liu, Xiaochun and Schulze, Bert-Wolfgang},
  title     = {Edge quantisation of elliptic operators},
  series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  journal   = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell},
  issn      = {1437-739X},
  doi       = {10.1007/s00605-008-0058-y},
  year      = {2009},
  abstract  = {The ellipticity of operators on a manifold with edge is defined as the bijectivity of the components of a principal symbolic hierarchy sigma = (sigma(psi), sigma(boolean AND)), where the second component takes values in operators on the infinite model cone of the local wedges. In the general understanding of edge problems there are two basic aspects: Quantisation of edge-degenerate operators in weighted Sobolev spaces, and verifying the ellipticity of the principal edge symbol sigma(boolean AND) which includes the (in general not explicity known) number of additional conditions of trace and potential type on the edge. We focus here on these questions and give explicit answers for a wide class of elliptic operators that are connected with the ellipticity of edge boundary value problems and reductions to the boundary. In particular, we study the edge quantisation and ellipticity for Dirichlet-Neumann operators with respect to interfaces of some codimension on a boundary. We show analogues of the Agranovich-Dynin formula for edge boundary value problems.},
  language  = {en}
}