The Neumann problem after Spencer

Azal Mera   ; Nikolai Tarkhanov

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 4, pp. 474-493

Résumé

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.

Détail

Keywords: manifolds with boundary, Hodge theory, Neumann problem.
Mots-clés : elliptic complexes

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