5 papers
An abstract Logvinenko-Sereda type theorem for spectral subspaces
Michela Egidi, Albrecht Seelmann
We provide an abstract framework for a Logvinenko-Sereda type theorem, where the classical compactness assumption on the support of the Fourier transform is replaced by the assumpt…
Band edge localization beyond regular Floquet eigenvalues
Albrecht Seelmann, Matthias Täufer
We prove that localization near band edges of multi-dimensional ergodic random Schrödinger operators with periodic background potential in is universal. By this…
Exhaustion approximation for the control problem of the heat or Schrödinger semigroup on unbounded domains
Albrecht Seelmann, Ivan Veselic
We consider the control problem of the heat equation on bounded and unbounded domains, and more generally the corresponding inhomogeneous equation for the Schrödinger semigroup. We…
Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains
Michela Egidi, Ivica Nakić, Albrecht Seelmann +3
We survey recent results on the control problem for the heat equation on unbounded and large bounded domains. First we formulate new uncertainty relations, respectively spectral in…
Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains (With an Appendix by Albrecht Seelmann)
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +2
We prove and apply two theorems: First, a quantitative, scale-free unique continuation estimate for functions in a spectral subspace of a Schrödinger operator on a bounded or unbou…