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Differential Equations

, Volume 50, Issue 2, pp 232–245 | Cite as

Index of Sobolev problems on manifolds with many-dimensional singularities

  • A. Yu. Savin
  • B. Yu. Sternin
Partial Differential Equations
  • 46 Downloads

Abstract

We consider Sobolev spaces on manifolds with many-dimensional singularities. We prove the Fredholm property of such problems and derive the corresponding index formula. The results are based on the theory of translators on manifolds with singularities.

Keywords

Vector Bundle Boundary Operator Elliptic Operator Matrix Operator Fredholm Operator 
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

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Peoples’ Friendship University of RussiaMoscowRussia
  2. 2.Leibniz University of HannoverHannoverGermany

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