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

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. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

Authors
Savin A.Y. 1, 2
Publisher
Springer New York LLC
Number of issue
4
Language
English
Pages
555-569
Status
Published
Volume
260
Year
2022
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 2 Leibniz University of Hannover, Hannover, Germany
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