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- Title
-Algebras of Transmission Problems and Elliptic Boundary Value Problems with Shift Operators.
- Authors
Baldare, A.; Nazaikinskii, V. E.; Savin, A. Yu.; Schrohe, E.
- 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 -algebra techniques, plays an important role in our approach to the analysis of the problem.
- Subjects
BOUNDARY value problems; ELLIPTIC operators
- Publication
Mathematical Notes, 2022, Vol 111, Issue 5/6, p701
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434622050042