Boundary value problems for general first-order elliptic differential operators
- We study boundary value problems for first-order elliptic differential operators on manifolds with compact boundary. The adapted boundary operator need not be selfadjoint and the boundary condition need not be pseudo-local.We show the equivalence of various characterisations of elliptic boundary conditions and demonstrate how the boundary conditions traditionally considered in the literature fit in our framework. The regularity of the solutions up to the boundary is proven. We show that imposing elliptic boundary conditions yields a Fredholm operator if the manifold is compact. We provide examples which are conveniently treated by our methods.
| Verfasserangaben: | Christian BärORCiDGND, Lashi BandaraORCiD |
|---|---|
| DOI: | https://doi.org/10.1016/j.jfa.2022.109445 |
| ISSN: | 0022-1236 |
| ISSN: | 1096-0783 |
| Titel des übergeordneten Werks (Englisch): | Journal of functional analysis |
| Verlag: | Elsevier |
| Verlagsort: | Amsterdam [u.a.] |
| Publikationstyp: | Wissenschaftlicher Artikel |
| Sprache: | Englisch |
| Datum der Erstveröffentlichung: | 15.06.2022 |
| Erscheinungsjahr: | 2022 |
| Datum der Freischaltung: | 07.12.2023 |
| Freies Schlagwort / Tag: | Fredholm property; H-infinity-functional calculus; Rarita-Schwinger; boundary regularity; conditions; elliptic boundary; elliptic differential operators of firstorder; maximal regularity; operator |
| Band: | 282 |
| Ausgabe: | 12 |
| Aufsatznummer: | 109445 |
| Seitenanzahl: | 69 |
| Organisationseinheiten: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC-Klassifikation: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer Review: | Referiert |
