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On the dense controllability for the parabolic problem with time-distributed functional

In: Tatra Mountains Mathematical Publications, vol. 71, no. 1
Irina Astashova - Alexey V. Filinovskiy
Detaily:
Rok, strany: 2019, 9 - 25
Jazyk: eng
Kľúčové slová:
heat equation, quadratic cost functional, extremal problem, exact controllability, dense controllability
Typ článku: Mathematics
O článku:
We consider a control problem for one-dimensional heat equation with quadratic cost functional. We prove the existence and uniqueness of a control function from a prescribed set, and study the structure of the set of accessible temperature functions. We also prove the dense controllability of the problem for~some set of control functions.
Ako citovať:
ISO 690:
Astashova, I., Filinovskiy, A. 2019. On the dense controllability for the parabolic problem with time-distributed functional. In Tatra Mountains Mathematical Publications, vol. 71, no.1, pp. 9-25. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0002

APA:
Astashova, I., Filinovskiy, A. (2019). On the dense controllability for the parabolic problem with time-distributed functional. Tatra Mountains Mathematical Publications, 71(1), 9-25. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2018-0002
O vydaní:
Vydavateľ: MÚ SAV
Publikované: 2. 1. 2019