The Neumann Problem after Spencer
- When trying to extend the Hodge theory for elliptic complexes on compact closed manifolds to the case of compact manifolds with boundary one is led to a boundary value problem for the Laplacian of the complex which is usually referred to as Neumann problem. We study the Neumann problem for a larger class of sequences of differential operators on a compact manifold with boundary. These are sequences of small curvature, i.e., bearing the property that the composition of any two neighbouring operators has order less than two.
| Author details: | Azal Jaafar Musa MeraGND, Nikolaj Nikolaevič TarchanovORCiDGND |
|---|---|
| DOI: | https://doi.org/10.17516/1997-1397-2017-10-4-474-493 |
| ISSN: | 1997-1397 |
| ISSN: | 2313-6022 |
| Title of parent work (Multiple languages): | Žurnal Sibirskogo Federalʹnogo Universiteta = Journal of Siberian Federal University : Matematika i fizika = Mathematics & physics |
| Publisher: | Sibirskij Federalʹnyj Universitet |
| Place of publishing: | Krasnojarsk |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2017/07/06 |
| Publication year: | 2017 |
| Release date: | 2022/09/02 |
| Tag: | Hodge theory; Neumann problem; elliptic complexes; manifolds with boundary |
| Volume: | 10 |
| Number of pages: | 20 |
| First page: | 474 |
| Last Page: | 493 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
