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On Homotopy Classification of Elliptic Problems with Contractions and K-Groups of Corresponding C*-Algebras

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Abstract

We consider a computation of a group of stable homotopy classes for pseudodifferential elliptic boundary problems. We study this problem in terms of topological K-groups of spaces in the following cases: boundary-value problems on manifolds with boundary, transmission problems with conditions on a closed submanifold of codimension one, and nonlocal problems with contractions.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia (RUDN University), Moscow, Russia

    A. Yu. Savin

  2. Leibniz University of Hannover, Hannover, Germany

    A. Yu. Savin

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  1. A. Yu. Savin
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Correspondence to A. Yu. Savin.

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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 64, No. 1, Differential and Functional Differential Equations, 2018.

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Savin, A.Y. On Homotopy Classification of Elliptic Problems with Contractions and K-Groups of Corresponding C*-Algebras. J Math Sci 260, 555–569 (2022). https://doi.org/10.1007/s10958-022-05711-4

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  • DOI: https://doi.org/10.1007/s10958-022-05711-4

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