activity
20092024
most citedUniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry

14 citations · 53 across the 22 of their papers we have counts for

collaborators

26 papers

math-ph2024

Local Boundary Conditions for Dirac-type operators

Nadine Große, Alejandro Uribe, Hanne van den Bosch

We consider Dirac-type operators on manifolds with boundary, and set out to determine all local smooth boundary conditions that give rise to (strongly) regular self-adjoint operato…

math.SP2023

A Note on the Spectrum of Magnetic Dirac Operators

Nelia Charalambous, Nadine Große

In this article, we study the spectrum of the magnetic Dirac operator, and the magnetic Dirac operator with potential over complete Riemannian manifolds. We find sufficient conditi…

math.AP2023

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 …

math.DG2021★ 2 cited

On the Spectrum of the Dirac operator

Nelia Charalambous, Nadine Große

Our main goal in the present paper is to expand the known class of open manifolds over which the -spectrum of a general Dirac operator and its square is maximal. To achieve th…

math.AP2021

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…

math.DG2019

Totally umbilical hypersurfaces of Spin manifolds carrying special spinor fields

Nadine Große, Roger Nakad

Under some dimension restrictions, we prove that totally umbilical hypersurfaces of Spin manifolds carrying a parallel, real or imaginary Killing spinor are of constant mean cu…