Binz, Tim (2021)
Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds.
In: Semigroup Forum, 103 (1)
doi: 10.1007/s00233-021-10192-z
Artikel, Bibliographie
Dies ist die neueste Version dieses Eintrags.
Kurzbeschreibung (Abstract)
We consider the Dirichlet-to-Neumann operator associated to a strictly elliptic operator on the space C(∂M) of continuous functions on the boundary ∂M of a compact manifold M with boundary. We prove that it generates an analytic semigroup of angle π/2, generalizing and improving a result of Escher with a new proof. Combined with the abstract theory of operators with Wentzell boundary conditions developed by Engel and the author, this yields that the corresponding strictly elliptic operator with Wentzell boundary conditions generates a compact and analytic semigroups of angle π/2 on the space C(M).
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2021 |
| Autor(en): | Binz, Tim |
| Art des Eintrags: | Bibliographie |
| Titel: | Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds |
| Sprache: | Englisch |
| Publikationsjahr: | 2021 |
| Ort: | New York |
| Verlag: | Springer |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Semigroup Forum |
| Jahrgang/Volume einer Zeitschrift: | 103 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.1007/s00233-021-10192-z |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | We consider the Dirichlet-to-Neumann operator associated to a strictly elliptic operator on the space C(∂M) of continuous functions on the boundary ∂M of a compact manifold M with boundary. We prove that it generates an analytic semigroup of angle π/2, generalizing and improving a result of Escher with a new proof. Combined with the abstract theory of operators with Wentzell boundary conditions developed by Engel and the author, this yields that the corresponding strictly elliptic operator with Wentzell boundary conditions generates a compact and analytic semigroups of angle π/2 on the space C(M). |
| Freie Schlagworte: | Dirichlet-to-Neumann operator, Wentzell boundary conditions, Analytic semigroup, Riemmanian manifolds |
| Zusätzliche Informationen: | Mathematics Subject Classification: 47D06 · 34G10 · 47E05 · 47F05 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Analysis |
| Hinterlegungsdatum: | 02 Aug 2024 13:17 |
| Letzte Änderung: | 02 Aug 2024 13:17 |
| PPN: | |
| Export: | |
| Suche nach Titel in: | TUfind oder in Google |
Verfügbare Versionen dieses Eintrags
-
Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds. (deposited 30 Apr 2024 12:33)
- Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds. (deposited 02 Aug 2024 13:17) [Gegenwärtig angezeigt]
 |
Frage zum Eintrag |
Optionen (nur für Redakteure)
 |
Redaktionelle Details anzeigen |
Drucken
Impressum