Null and approximate controllability for weakly blowing up semilinear heat equations

Enrique Fernández-Cara; Enrique Zuazua

Annales de l'I.H.P. Analyse non linéaire (2000)

  • Volume: 17, Issue: 5, page 583-616
  • ISSN: 0294-1449

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Fernández-Cara, Enrique, and Zuazua, Enrique. "Null and approximate controllability for weakly blowing up semilinear heat equations." Annales de l'I.H.P. Analyse non linéaire 17.5 (2000): 583-616. <http://eudml.org/doc/78502>.

@article{Fernández2000,
author = {Fernández-Cara, Enrique, Zuazua, Enrique},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {semilinear heat equation; controllability},
language = {eng},
number = {5},
pages = {583-616},
publisher = {Gauthier-Villars},
title = {Null and approximate controllability for weakly blowing up semilinear heat equations},
url = {http://eudml.org/doc/78502},
volume = {17},
year = {2000},
}

TY - JOUR
AU - Fernández-Cara, Enrique
AU - Zuazua, Enrique
TI - Null and approximate controllability for weakly blowing up semilinear heat equations
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2000
PB - Gauthier-Villars
VL - 17
IS - 5
SP - 583
EP - 616
LA - eng
KW - semilinear heat equation; controllability
UR - http://eudml.org/doc/78502
ER -

References

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  9. [9] Fernández-Cara E., Zuazua E., The cost of approximate controllability for heat equations: The linear case, Adv. Differential Equations (to appear). Zbl1007.93034MR1750109
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  13. [13] Glass O., Sur la contrôlabilité des fluides parfaits incompressibles, Ph.D. Thesis, Université de Paris XI, Orsay, France, January 2000. 
  14. [14] Henry J., Contrôle d'un réacteur enzymatique à l'aide de modèles à paramètres distribués: Quelques problèmes de contrôlabilité de systèmes paraboliques, Ph.D. Thesis, Université Paris VI, 1978. 
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  17. [17] Zuazua E., Exact boundary controllability for the semilinear wave equation, in: Brezis H., Lions J.L. (Eds.), Nonlinear Partial Differential Equations and their Applications, Vol. X, Pitman, 1991, pp. 357-391. Zbl0731.93011MR1131832
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Citations in EuDML Documents

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  1. Farid Ammar Khodja, Assia Benabdallah, Cédric Dupaix, Ilya Kostin, Null-controllability of some systems of parabolic type by one control force
  2. Karl Kunisch, Lijuan Wang, Time optimal control of the heat equation with pointwise control constraints
  3. Farid Ammar Khodja, Assia Benabdallah, Cédric Dupaix, Ilya Kostin, Null-controllability of some systems of parabolic type by one control force
  4. Sebastian Anita, Viorel Barbu, Null controllability of nonlinear convective heat equations
  5. Sebastian Aniţa, Viorel Barbu, Null controllability of nonlinear convective heat equations
  6. Enrique Fernández-Cara, Manuel González-Burgos, Sergio Guerrero, Jean-Pierre Puel, Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case
  7. K. Beauchard, E. Zuazua, Some controllability results for the 2D Kolmogorov equation
  8. Kumarasamy Sakthivel, Krishnan Balachandran, Jong-Yeoul Park, Ganeshan Devipriya, Null controllability of a nonlinear diffusion system in reactor dynamics
  9. Anna Doubova, A. Osses, J.-P. Puel, Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
  10. Sergio Guerrero, Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions

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