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math.AP2023
Magnetic Bernstein inequalities and spectral inequality on thick sets for the Landau operator
Paul Pfeiffer, Matthias Täufer
We prove a spectral inequality for the Landau operator. This means that for all in the spectral subspace corresponding to energies up to , the -integral over suitable $…
math.AP2020
Quantum Hamiltonians with weak random abstract perturbation. II. Localization in the expanded spectrum
Denis Borisov, Matthias Täufer, Ivan Veselic
We consider multi-dimensional Schrödinger operators with a weak random perturbation distributed in the cells of some periodic lattice. In every cell the perturbation is described b…
math.AP2018
Sharp estimates and homogenization of the control cost of the heat equation on large domains
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +1
We prove new bounds on the control cost for the abstract heat equation, assuming a spectral inequality or uncertainty relation for spectral projectors. In particular, we specify qu…