C-Algebras of Transmission Problems and Elliptic Boundary Value Problems with Shift Operators

Research output: Contribution to journal › Article › Research › peer review

Authors

  • A. Baldare
  • V. E. Nazaikinskii
  • A. Yu Savin
  • E. Schrohe

Research Organisations

External Research Organisations

  • RAS - Institute for Problems in Mechanics
  • Peoples' Friendship University of Russia (RUDN)
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Details

Original languageEnglish
Pages (from-to)701-721
Number of pages21
JournalMathematical notes
Volume111
Issue number5
Early online date23 Jun 2022
Publication statusPublished - Jun 2022

Abstract

Abstract: We study the Fredholm solvability for a new class of nonlocal boundary value problems associated with group actions on smooth manifolds. Namely, we consider the case in which the group action is defined on an ambient manifold without boundary and does not preserve the manifold with boundary on which the problem is stated. In particular, the group action does not map the boundary into itself. The orbits of the boundary under the group action split the manifold into subdomains, and this decomposition, being combined with the C*-algebra techniques, plays an important role in our approach to the analysis of the problem.

Keywords

    C-algebra, crossed product, ellipticity, Fredholm property, group action, manifold with boundary, nonlocal operator

ASJC Scopus subject areas

Cite this

C-Algebras of Transmission Problems and Elliptic Boundary Value Problems with Shift Operators. / Baldare, A.; Nazaikinskii, V. E.; Savin, A. Yu et al.
In: Mathematical notes, Vol. 111, No. 5, 06.2022, p. 701-721.

Research output: Contribution to journal › Article › Research › peer review

Baldare A, Nazaikinskii VE, Savin AY, Schrohe E. C-Algebras of Transmission Problems and Elliptic Boundary Value Problems with Shift Operators. Mathematical notes. 2022 Jun;111(5):701-721. Epub 2022 Jun 23. doi: 10.1134/S0001434622050042
Baldare, A. ; Nazaikinskii, V. E. ; Savin, A. Yu et al. / C-Algebras of Transmission Problems and Elliptic Boundary Value Problems with Shift Operators. In: Mathematical notes. 2022 ; Vol. 111, No. 5. pp. 701-721.
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