The dirichlet to Neumann operator for elliptic complexes
- We define the Dirichlet to Neumann operator for an elliptic complex of first order differential operators on a compact Riemannian manifold with boundary. Under reasonable conditions the Betti numbers of the complex prove to be completely determined by the Dirichlet to Neumann operator on the boundary.
| Author details: | Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| ISSN: | 0002-9947 |
| Title of parent work (English): | Transactions of the American Mathematical Society |
| Publisher: | American Mathematical Soc. |
| Place of publishing: | Providence |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2011 |
| Publication year: | 2011 |
| Release date: | 2017/03/26 |
| Tag: | Dirichlet to Neumann operator; Elliptic complexes; inverse problems |
| Volume: | 363 |
| Issue: | 12 |
| Number of pages: | 17 |
| First page: | 6421 |
| Last Page: | 6437 |
| Funding institution: | DFG (German Research Society) [TA 289/4-1] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
