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math.AP2025
Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications
Martin Tautenhahn, Ivan Veselic
We consider elliptic second order partial differential operators with Lipschitz continuous leading order coefficients on finite cubes and the whole Euclidean space. We prove quanti…
math.AP2024
Unique continuation estimates on manifolds with Ricci curvature bounded below
Christian Rose, Martin Tautenhahn
We prove quantitative unique continuation estimates for relatively dense sets and spectral subspaces associated to small energies of Schrödinger operators on Riemannian manifolds…