Ivan Veselić: Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials

Datum predavanja: četvrtak, 3.10.2024.
Vrijeme predavanja: 11h

Ivan Veselic, TU-Dortmund
Title: Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials

Abstract:
We prove a spectral inequality (a specific type of uncertainty relation) for Schrödinger operators with confinement potentials, in particular of Shubin-type. The sensor sets are allowed to decay exponentially, where the precise allowed decay rate depends on the potential. The proof uses an interpolation inequality derived by Carleman estimates, quantitative weighted L^2-estimates and H^1-concentration estimate, all of them for functions in a spectral subspace of the operator.

Bio:
https://link.springer.com/article/10.1007/s42985-024-00276-0

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