Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains (CROSBI ID 68489)
Prilog u knjizi | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Egidi, Michela ; Nakić, Ivica ; Seelmann, Albrecht ; Täufer, Matthias ; Tautenhahn, Martin ; Veselić, Ivan
engleski
Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains
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 inequalities. Then we present an abstract control cost estimate which improves upon earlier results. It is particularly interesting when combined with the earlier mentioned spectral inequalities since it yields sharp control cost bounds in several asymptotic regimes. We also show that control problems on unbounded domains can be approximated by corresponding problems on a sequence of bounded domains forming an exhaustion. Our results apply also for the generalized heat equation associated with a Schrödinger semigroup.
Unique continuation, uncertainty principle, heat equation, null-controllability, control costs, observability estimate, unbounded domains
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Podaci o prilogu
117-157.
objavljeno
10.1007/978-3-030-35898-3_5
Podaci o knjizi
Control Theory of Infinite-Dimensional Systems
Kerner, Joachim ; Laasri, Hafida ; Mugnolo, Delio
Basel: Springer
2020.
978-3-030-35897-6
0255-0156
2296-4878