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Index of Sobolev problems on manifolds with many-dimensional singularities

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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.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Moscow, Russia

    A. Yu. Savin & B. Yu. Sternin

  2. Leibniz University of Hannover, Hannover, Germany

    A. Yu. Savin & B. Yu. Sternin

Authors
  1. A. Yu. Savin
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  2. B. Yu. Sternin
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Correspondence to A. Yu. Savin.

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Original Russian Text © A.Yu. Savin, B.Yu. Sternin, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 2, pp.p229–241.

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Savin, A.Y., Sternin, B.Y. Index of Sobolev problems on manifolds with many-dimensional singularities. Diff Equat 50, 232–245 (2014). https://doi.org/10.1134/S0012266114020116

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  • DOI: https://doi.org/10.1134/S0012266114020116

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