Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

Sharp estimates and homogenization of the control cost of the heat equation on large domains (CROSBI ID 289051)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Nakić, Ivica ; Täufer, Matthias ; Tautenhahn, Martin ; Veselić, Ivan Sharp estimates and homogenization of the control cost of the heat equation on large domains // ESAIM. Control, optimisation and calculus of variations, 26 (2020), 26; 54, 26. doi: 10.1051/cocv/2019058

Podaci o odgovornosti

Nakić, Ivica ; Täufer, Matthias ; Tautenhahn, Martin ; Veselić, Ivan

engleski

Sharp estimates and homogenization of the control cost of the heat equation on large domains

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 quantitatively how upper bounds on the control cost depend on the constants in the spectral inequality. This is then applied to the heat flow on bounded and unbounded domains modeled by a Schrodinger semigroup. This means that the heat evolution generator is allowed to contain a potential term. The observability/control set is assumed to obey an equidistribution or a thickness condition, depending on the context. Complementary lower bounds and examples show that our control cost estimates are sharp in certain asymptotic regimes. One of these is dubbed homogenization regime and corresponds to the situation where the control set becomes more and more evenly distributed throughout the domain while its density remains constant.

Observability ; null-controllability ; spectral inequality ; abstract heat equation ; control cost ; thick sets ; homogenization ; Schrodinger semigroup

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

26 (26)

2020.

54

26

objavljeno

1292-8119

1262-3377

10.1051/cocv/2019058

Povezanost rada

Matematika

Poveznice
Indeksiranost