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math.AP2026
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…
math.AP2025
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…