Index of Sobolev problems on manifolds with many-dimensional singularities

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. © 2014 Pleiades Publishing, Ltd.

Authors
Savin A.Y. 1, 2 , Sternin B.Y. 1, 2
Journal
Differential Equations
Issue number
2
Language
English
Pages
232-245
State
Published
Link
External link
DOI
10.1134/S0012266114020116
Volume
50
Year
2014
Organizations
  • 1 Peoples' Friendship University of Russia, Moscow, Russian Federation
  • 2 Leibniz University of Hannover, Hannover, Germany
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