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
Article, Bibliographie
This is the latest version of this item.
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).
| Item Type: | Article |
|---|---|
| Erschienen: | 2021 |
| Creators: | Binz, Tim |
| Type of entry: | Bibliographie |
| Title: | Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds |
| Language: | English |
| Date: | 2021 |
| Place of Publication: | New York |
| Publisher: | Springer |
| Journal or Publication Title: | Semigroup Forum |
| Volume of the journal: | 103 |
| Issue Number: | 1 |
| DOI: | 10.1007/s00233-021-10192-z |
| Corresponding Links: | |
| 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). |
| Uncontrolled Keywords: | Dirichlet-to-Neumann operator, Wentzell boundary conditions, Analytic semigroup, Riemmanian manifolds |
| Additional Information: | Mathematics Subject Classification: 47D06 · 34G10 · 47E05 · 47F05 |
| Classification DDC: | 500 Science and mathematics > 510 Mathematics |
| Divisions: | 04 Department of Mathematics 04 Department of Mathematics > Analysis |
| Date Deposited: | 02 Aug 2024 13:17 |
| Last Modified: | 02 Aug 2024 13:17 |
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| Suche nach Titel in: | TUfind oder in Google |
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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) [Currently Displayed]
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