Naslov
Null-controllability of the heat equation in unbounded domains

Autori
Nakić, Ivica

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
IFIP TC 7 Conference 2018 on System Modelling and Optimization

Mjesto i datum
Essen, Njemačka, 23.06.2018. - 27.06.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
null-controllability, parabolic equations, control cost

Sažetak
We adapt a strategy for proving null-controllability of parabolic equations by [Tenenbaum-Tucsnak-2011] to a setting of lower semibounded operator swith continuous spectrum. This includes in particular the case of the controlled heat equation in Rd where the diffusion term −∆ is replaced by a Schrödinger operator −∆+V. We lay particular emphasis on explicitly estimating the control cost in terms of all occurring model parameters. This is then combined with recent scale-free unique continuation principles for spectral subspaces of Schrödinger operators and the behaviour of the control cost in certain (homogenization)limits is studied. The talk is based on the joint work with Matthias Täufer, Martin Tautenhahn and Ivan Veselić.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA