Work

Generalized Boundary Triples for Adjoint Pairs with Applications to Non-Self-Adjoint Schrödinger Operators

Year: 2025

Type: article

Abstract: We extend the notion of generalized boundary triples and their Weyl functions from extension theory of symmetric operators to adjoint pairs of operators, and we provide criteria on the boundary parameters to induce closed operators with a nonempty resolvent set. The abstract results are applied to Schrödinger operators with complex $$L^p$$ L p -potentials on bounded and unbounded Lipschitz domains with compact boundaries.

Source: Complex Analysis and Operator Theory

DOI: 10.1007/s11785-025-01834-z

Authors: Antonio Arnal, Jussi Behrndt, Markus Holzmann, Petr Siegl

Institution: Graz University of Technology

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: TU Graz, Internationale Beziehungen und Mobilitätsprogramme