- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (4)
- Authors
- Mera, Azal; Tarkhanov, Nikolai
- Contact information
- Mera, Azal: University of Babilon Babilon, Iraq Institute for Mathematics University of Potsdam Karl-Liebknecht-Str., 24/25, Potsdam (Golm), 14476 Germany; ; ; Tarkhanov, Nikolai: University of Potsdam Karl-Liebknecht-Str. 24/25, Potsdam, 14476 Germany;
- Keywords
- elliptic complexes; manifolds with boundary; Hodge theory; Neumann problem
- Abstract
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.
- Pages
- 474–493
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/34760
Journal of Siberian Federal University. Mathematics & Physics / The Neumann Problem after Spencer
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