Operators on manifolds with exits to infinity

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


Boundary value problems on configurations with edges, cf. Chapters 4 and 5 below, are based on a calculus on an infinite model cone of a local wedge, with a special control for r. Wedge operators are pseudo-differential operators with cone operator-valued symbols. They are connected with groups of isomorphisms in weighted Sobolev spaces on the infinite cone, induced by homotheties in the axial variable, and r is regarded as a non-compact exit of the cone to infinity.


Fredholm Operator Principal Symbol Fredholm Property Classical Symbol Elliptic 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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