Geodesic
The Neumann problem after Spencer
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 4, pp. 474-493

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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.
Keywords: manifolds with boundary, Hodge theory, Neumann problem.
Mots-clés : elliptic complexes 
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     title = {The {Neumann} problem after {Spencer}},
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Azal Mera; Nikolai Tarkhanov. The Neumann problem after Spencer. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 4, pp. 474-493. http://geodesic.mathdoc.fr/item/JSFU_2017_10_4_a8/