Contrôle exact de l'équation de la chaleur

G. Lebeau; L. Robbiano

Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995)

  • page 1-11

How to cite

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Lebeau, G., and Robbiano, L.. "Contrôle exact de l'équation de la chaleur." Séminaire Équations aux dérivées partielles (Polytechnique) (1994-1995): 1-11. <http://eudml.org/doc/112118>.

@article{Lebeau1994-1995,
author = {Lebeau, G., Robbiano, L.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {approximate controllability},
language = {fre},
pages = {1-11},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Contrôle exact de l'équation de la chaleur},
url = {http://eudml.org/doc/112118},
year = {1994-1995},
}

TY - JOUR
AU - Lebeau, G.
AU - Robbiano, L.
TI - Contrôle exact de l'équation de la chaleur
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1994-1995
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 11
LA - fre
KW - approximate controllability
UR - http://eudml.org/doc/112118
ER -

References

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  1. [BLR] C. Bardos, G. Lebeau, J. Rauch: Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary, SIAM J. Control Optim, Vol 30, (1992), 1024-1065. Zbl0786.93009MR1178650
  2. [FPZ] C. Fabre, J.-P. Puel, E. Zuazua: Contrôlabilité approchée de l'équation de la chaleur semi-linéaire, CRASParis, t. 315, Série 1, (1992), 807-812. Zbl0770.35009MR1184907
  3. [H] L. Hörmander: The Analysis of Linear Partial Differential Operators, Springer Verlag (1985). Zbl0601.35001
  4. [LR] G. Lebeau, L. Robbiano: Contrôle exact de l'équation de la chaleur, à paraître dans Communication in Partial Differential Equations. Zbl0819.35071
  5. [M] S. Mizohata: Unicité du prolongement des solutions pour quelques opérateurs différentiels paraboliques, Memoirs of Coll. of Sciences Univ. of Kyoto31 (1958), 219-239. Zbl0087.09303MR106347
  6. [Ro] L. Robbiano: Fonction de coût et contrôle des solutions des équations hyperboliques, à paraître dans Asymptotic Analysis. Zbl0882.35015
  7. [Ru] D. Russell: A unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations, Studies in Applied Mathematics, Vol. 52, n° 3, (1973), 189-212. Zbl0274.35041MR341256
  8. [SS] J.-C. Saut, B. Scheurer: Unique continuation for some evolution equations, J. of Diff. Eq.66 (1987), 118-139. Zbl0631.35044MR871574
  9. [Z] E. Zuazua: Controllability of the linear system of thermoelasticity, à paraître au Journal de Maths Pures et Appliquées. Zbl0846.93008

Citations in EuDML Documents

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  1. Weijiu Liu, Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
  2. Johannes Sjöstrand, The Calderón problem with partial data
  3. Caroline Fabre, Uniqueness results for stokes equations and their consequences in linear and nonlinear control problems
  4. E. Fernández-Cara, Null controllability of the semilinear heat equation
  5. Antonio López, Enrique Zuazua, Some new results related to the null controllability of the 1 - d heat equation
  6. Ousseynou Nakoulima, Optimal control for distributed systems subject to null-controllability. Application to discriminating sentinels
  7. Thierry Horsin, Local exact lagrangian controllability of the Burgers viscous equation
  8. Karine Beauchard, Null controllability of degenerate parabolic equations of Grushin and Kolmogorov type

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