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Operators on manifolds with exits to infinity

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

Abstract

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.

Keywords

Fredholm Operator Principal Symbol Fredholm Property Classical Symbol Elliptic Symbol 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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