Jordan chains of elliptic partial differential operators and Dirichlet-to-Neumann maps

Tom ter Elst, Jussi Behrndt

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung

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.

Originalspracheenglisch
Seiten (von - bis)1081-1105
Seitenumfang25
FachzeitschriftJournal of Spectral Theory
Jahrgang11
Ausgabenummer3
DOIs
PublikationsstatusVeröffentlicht - 2021

ASJC Scopus subject areas

  • Statistische und nichtlineare Physik
  • Geometrie und Topologie
  • Mathematische Physik

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