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Well‐posedness of the Laplacian on manifolds with boundary and bounded geometry

Ammann, Bernd ; Große, Nadine ; Nistor, Victor



Abstract

Let M be a Riemannian manifold with a smooth boundary. The main question we address in this article is: "When is the Laplace-Beltrami operator Delta :Hk+1(M) boolean AND H-0(1)((M) -> Hk-1 (M), k is an element of N-0, invertible?" We consider also the case of mixed boundary conditions. The study of this main question leads us to the class of manifolds with boundary and bounded geometry introduced ...

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