22 citations · 98 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…