Boundary value problems for adjoint pairs of operators
Abstract
The notion of quasi boundary triples and their Weyl functions from extension theory of symmetric operators is extended to the general framework of adjoint pairs of operators under minimal conditions on the boundary maps. With the help of the corresponding abstract Titchmarsh-Weyl $M$-functions sufficient conditions for the unique solvability of the related boundary value problems are obtained and the solutions are expressed via Krein-type resolvent formulae. The abstract theory developed in this manuscript can be applied to a large class of elliptic differential operators.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Differential Equations and Boundary Problems
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Journal of Operator Theory
- Publisher
- Theta Foundation
- Volume
- 95
- Issue
- 2
- Pages
- 581–612
- Publication date
- 30 April 2026
- Language
- EN