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

Bernd Ammann, Nadine Große, Victor Nistor

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 $Δ\colon H^{k+1}(M)\cap H^1_0(M) \t…