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Pregled bibliografske jedinice broj: 1105141

Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains

Egidi, Michela; Nakić, Ivica; Seelmann, Albrecht; Täufer, Matthias; Tautenhahn, Martin; Veselić, Ivan
Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains // Control Theory of Infinite-Dimensional Systems / Kerner, Joachim ; Laasri, Hafida ; Mugnolo, Delio (ur.).
Basel: Springer, 2020. str. 117-157 doi:10.1007/978-3-030-35898-3_5

CROSBI ID: 1105141 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains

Autori
Egidi, Michela ; Nakić, Ivica ; Seelmann, Albrecht ; Täufer, Matthias ; Tautenhahn, Martin ; Veselić, Ivan

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, pregledni

Knjiga
Control Theory of Infinite-Dimensional Systems

Urednik/ci
Kerner, Joachim ; Laasri, Hafida ; Mugnolo, Delio

Izdavač
Springer

Grad
Basel

Godina
2020

Raspon stranica
117-157

ISBN
978-3-030-35897-6

ISSN
0255-0156

Ključne riječi
Unique continuation, uncertainty principle, heat equation, null-controllability, control costs, observability estimate, unbounded domains

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2016-06-2468 - Upravljanje dinamičkim sustavima (ConDyS) (Lazar, Martin, HRZZ ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Ivica Nakić (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com doi.org

Citiraj ovu publikaciju:

Egidi, Michela; Nakić, Ivica; Seelmann, Albrecht; Täufer, Matthias; Tautenhahn, Martin; Veselić, Ivan
Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains // Control Theory of Infinite-Dimensional Systems / Kerner, Joachim ; Laasri, Hafida ; Mugnolo, Delio (ur.).
Basel: Springer, 2020. str. 117-157 doi:10.1007/978-3-030-35898-3_5
Egidi, M., Nakić, I., Seelmann, A., Täufer, M., Tautenhahn, M. & Veselić, I. (2020) Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains. U: Kerner, J., Laasri, H. & Mugnolo, D. (ur.) Control Theory of Infinite-Dimensional Systems. Basel, Springer, str. 117-157 doi:10.1007/978-3-030-35898-3_5.
@inbook{inbook, author = {Egidi, Michela and Naki\'{c}, Ivica and Seelmann, Albrecht and T\"{a}ufer, Matthias and Tautenhahn, Martin and Veseli\'{c}, Ivan}, year = {2020}, pages = {117-157}, DOI = {10.1007/978-3-030-35898-3\_5}, keywords = {Unique continuation, uncertainty principle, heat equation, null-controllability, control costs, observability estimate, unbounded domains}, doi = {10.1007/978-3-030-35898-3\_5}, isbn = {978-3-030-35897-6}, issn = {0255-0156}, title = {Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains}, keyword = {Unique continuation, uncertainty principle, heat equation, null-controllability, control costs, observability estimate, unbounded domains}, publisher = {Springer}, publisherplace = {Basel} }
@inbook{inbook, author = {Egidi, Michela and Naki\'{c}, Ivica and Seelmann, Albrecht and T\"{a}ufer, Matthias and Tautenhahn, Martin and Veseli\'{c}, Ivan}, year = {2020}, pages = {117-157}, DOI = {10.1007/978-3-030-35898-3\_5}, keywords = {Unique continuation, uncertainty principle, heat equation, null-controllability, control costs, observability estimate, unbounded domains}, doi = {10.1007/978-3-030-35898-3\_5}, isbn = {978-3-030-35897-6}, issn = {0255-0156}, title = {Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains}, keyword = {Unique continuation, uncertainty principle, heat equation, null-controllability, control costs, observability estimate, unbounded domains}, publisher = {Springer}, publisherplace = {Basel} }

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