Boundary value problems on manifolds with edges

  • David Kapanadze
  • B.-Wolfgang Schulze
Part of the Mathematics and Its Applications book series (MAIA, volume 561)


The analysis of elliptic operators on a manifold W with boundary V and edge Y is developed within a calculus of pseudo-differential boundary value problems on W \ Y with extra trace and potential conditions on the edge and (edge-degenerate) pseudo-differential operators on V \ Y, together with trace and potential conditions and (standard) pseudo-differential operators on Y. The calculus consists of a 3 × 3 block matrix algebra with a three-component symbolic hierarchy, where the ellipticity of boundary and edge data are analogues of the Shapiro-Lopatinskij condition.


Principal Symbol Frechet Space Cone Algebra Asymptotic Type Edge Symbol 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • David Kapanadze
    • 1
  • B.-Wolfgang Schulze
    • 2
  1. 1.A. Razmadze Mathematical InstituteAcademy of Sciences of GeorgiaTbilisiUSA
  2. 2.Institute of MathematicsUniversity of PotsdamPotsdamGermany

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