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On The Dense Controllability for The Parabolic Problem with Time-Distributed Functional

Irina V. Astashova

Irina V. Astashova

  • Lomonosov Moscow State UniversityMoscow, Russian Federation
  • Plekhanov Russian University of EconomicsMoscow, Russian Federation
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Astashova, Irina V.
 und 
Alexey V. Filinovskiy

Alexey V. Filinovskiy

  • Lomonosov Moscow State UniversityMoscow, Russian Federation
  • Bauman Moscow State Technical UniversityMoscow, Russian Federation
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Filinovskiy, Alexey V.
  
25. Jan. 2019
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Online veröffentlicht: 25. Jan. 2019
Seitenbereich: 9 - 25
Eingereicht: 11. Dez. 2017
DOI: https://doi.org/10.2478/tmmp-2018-0002
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© 2018 Irina V. Astashova et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

Sprache:
Englisch
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3 Hefte pro Jahr
Fachgebiete der Zeitschrift:
Mathematik, Mathematik, Allgemeines
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