14 citations · 53 across the 22 of their papers we have counts for
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The -unique continuation property on manifolds with bounded geometry and the deformation operator
Nadine Große, Mirela Kohr, Victor Nistor
A differential operator satisfies the -unique continuation property if every -solution of that vanishes on an open subset vanishes identically. We study the …
The Cauchy problem of the Lorentzian Dirac operator with APS boundary conditions
Nicolò Drago, Nadine Große, Simone Murro
We consider the classical Dirac operator on globally hyperbolic manifolds with timelike boundary and show well-posedness of the Cauchy initial-boundary value problem coupled to APS…
Analysis and boundary value problems on singular domains: an approach via bounded geometry
Bernd Ammann, Nadine Grosse, Victor Nistor
We prove well-posedness and regularity results for elliptic boundary value problems on certain domains with a smooth set of singular points. Our class of domains contains the class…
The strong Legendre condition and the well-posedness of mixed Robin problems on manifolds with bounded geometry
Bernd Ammann, Nadine Große, Victor Nistor
Let be a smooth manifold with boundary and bounded geometry, be an open and closed subset, be a second order differential ope…
Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry
Nadine Große, Victor Nistor
We study the regularity of the solutions of second order boundary value problems on manifolds with boundary and bounded geometry. We first show that the regularity property of a gi…
Well-posedness of the Laplacian on manifolds with boundary and bounded geometry
Bernd Ammann, Nadine Große, Victor Nistor
Let 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…