Abstract
Let Ω Rd be a bounded open set with Lipschitz boundary Γ. It will be shown that the Jordan chains of m-sectorial second-order elliptic partial differential operators with measurable coefficients and (local or non-local) Robin boundary conditions in L2.Ω/ can be characterized with the help of Jordan chains of the Dirichlet-to-Neumann map and the boundary operator from H1=2.Γ/ into H-1=2. Γ/. This result extends the Birman-Schwinger principle in the framework of elliptic operators for the characterization of eigenvalues, eigenfunctions and geometric eigenspaces to the complete set of all generalized eigenfunctions and algebraic eigenspaces.
Originalsprache | englisch |
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Seiten (von - bis) | 1081-1105 |
Seitenumfang | 25 |
Fachzeitschrift | Journal of Spectral Theory |
Jahrgang | 11 |
Ausgabenummer | 3 |
DOIs | |
Publikationsstatus | Veröffentlicht - 2021 |
ASJC Scopus subject areas
- Statistische und nichtlineare Physik
- Geometrie und Topologie
- Mathematische Physik