22 citations · 65 across the 6 of their papers we have counts for
8 papers
Mixed control of vibrational systems
Ivica Nakić, Zoran Tomljanović, Ninoslav Truhar
We consider new performance measures for vibrational systems based on the norm of linear time invariant systems. New measures will be used as an optimization criterion for th…
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…
Perturbation of eigenvalues of the Klein-Gordon operators
Ivica Nakić, Krešimir Veselić
We prove inclusion theorems for both spectra and essential spectra as well as two-sided bounds for isolated eigenvalues for Klein-Gordon type Hamiltonian operators. We first study…
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…
Scale-free unique continuation principle, eigenvalue lifting and Wegner estimates for random Schrödinger operators
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +1
We prove a scale-free, quantitative unique continuation principle for functions in the range of the spectral projector of a Schrödinger operator on a c…
Scale-free uncertainty principles and Wegner estimates for random breather potentials
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +1
We present new scale-free quantitative unique continuation principles for Schrödinger operators. They apply to linear combinations of eigenfunctions corresponding to eigenvalues be…
Multiscale unique continuation properties of eigenfunctions
Denis Borisov, Ivica Nakić, Christian Rose +2
Quantitative unique continuation principles for multiscale structures are an important ingredient in a number applications, e.g. random Schrödinger operators and control theory. We…