Binz, Tim (2024)
Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds.
In: Semigroup Forum, 2021, 103 (1)
doi: 10.26083/tuprints-00023471
Article, Secondary publication, Publisher's Version
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| Item Type: | Article |
|---|---|
| Type of entry: | Secondary publication |
| Title: | Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds |
| Language: | English |
| Date: | 30 April 2024 |
| Place of Publication: | Darmstadt |
| Year of primary publication: | 2021 |
| Place of primary publication: | New York |
| Publisher: | Springer |
| Journal or Publication Title: | Semigroup Forum |
| Volume of the journal: | 103 |
| Issue Number: | 1 |
| DOI: | 10.26083/tuprints-00023471 |
| Corresponding Links: | |
| Origin: | Secondary publication DeepGreen |
| 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 |
| Status: | Publisher's Version |
| URN: | urn:nbn:de:tuda-tuprints-234718 |
| Additional Information: | Mathematics Subject Classification: 47D06 · 34G10 · 47E05 · 47F05 |
| Classification DDC: | 500 Science and mathematics > 510 Mathematics |
| Divisions: | 04 Department of Mathematics > Analysis |
| Date Deposited: | 30 Apr 2024 12:33 |
| Last Modified: | 03 Sep 2024 06:24 |
| SWORD Depositor: | Deep Green |
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/23471 |
| PPN: | 521038715 |
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