25 citations · 152 across the 42 of their papers we have counts for
4 papers · 1 filter
Boundary determination from local boundary data for a fractional Calderón problem
Heiko Gimperlein, Magnus Goffeng
We introduce a new Calderón-type problem for fractional powers of Schrödinger operators, with local boundary conditions. The associated Dirichlet-to-Neumann operator maps Dirichlet…
The index of sub-laplacians: beyond contact manifolds
Magnus Goffeng, Bernard Helffer
In this paper we study the following question: do sub-Laplacian type operators have non-trivial index theory on Carnot manifolds in higher degree of nilpotency? The problem relates…
Semiclassical analysis of a nonlocal boundary value problem related to magnitude
Heiko Gimperlein, Magnus Goffeng, Nikoletta Louca
We study a Dirichlet boundary problem related to the fractional Laplacian in a manifold. Its variational formulation arises in the study of magnitude, an invariant of compact metri…
Realisations of elliptic operators on compact manifolds with boundary
Lashi Bandara, Magnus Goffeng, Hemanth Saratchandran
This paper investigates realisations of elliptic differential operators of general order on manifolds with boundary following the approach of Bär-Ballmann to first order elliptic o…