Controls insensitizing the norm of the solution of a semilinear heat equation in unbounded domains

Luz De Teresa

ESAIM: Control, Optimisation and Calculus of Variations (1997)

  • Volume: 2, page 125-149
  • ISSN: 1292-8119

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De Teresa, Luz. "Controls insensitizing the norm of the solution of a semilinear heat equation in unbounded domains." ESAIM: Control, Optimisation and Calculus of Variations 2 (1997): 125-149. <http://eudml.org/doc/90503>.

@article{DeTeresa1997,
author = {De Teresa, Luz},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {heat equation; parabolic semilinear system; insensitizing control},
language = {eng},
pages = {125-149},
publisher = {EDP Sciences},
title = {Controls insensitizing the norm of the solution of a semilinear heat equation in unbounded domains},
url = {http://eudml.org/doc/90503},
volume = {2},
year = {1997},
}

TY - JOUR
AU - De Teresa, Luz
TI - Controls insensitizing the norm of the solution of a semilinear heat equation in unbounded domains
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1997
PB - EDP Sciences
VL - 2
SP - 125
EP - 149
LA - eng
KW - heat equation; parabolic semilinear system; insensitizing control
UR - http://eudml.org/doc/90503
ER -

References

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  1. [1] S. Angenent: The zero set of a solution of a parabolic equation, J. Reine Angew. Math., 390, 1988, 79-96. Zbl0644.35050MR953678
  2. [2] O. Bodart, C. Fabre: Controls Insensitizing the Norm of the Solution of a Semilinear Heat Equation, J. Math. An. and App., 195, 1995, 658-683. Zbl0852.35070MR1356636
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  4. [4] T. Cazenave, A. Haraux: Introduction aux problèmes d'évolution semi-linéaires, Collection S.M.A.I. Mathématiques et applications, Ellipses, Paris, 1980. Zbl0786.35070
  5. [5] L. de Teresa, E. Zuazua: Approximate controllability of a semilinear heat equation in unbounded domains, Preprint. Zbl0946.93006
  6. [6] C. Fabre, J.P. Puel, E. Zuazua: Approximate controllability of the semilinear heat equation, Proc. Roy. Soc. Edinburgh, Sect. A, 125, 1995, 31-61. Zbl0818.93032MR1318622
  7. [7] O.A. Ladyzenskaja, V.A. Solonnikov, N.N. Ural'ceva: Linear and Quasilinear Equations of Parabolic Type, A.M.S., Rhode Island, 1968. MR241822
  8. [8] J.L. Lions: Remarques préliminaires sur le contrôle des systèmes à données incomplètes, in Actas del Congreso de Ecuaciones Diferenciales y Aplicaciones (CEDYA), Universidad de Málaga, 1989, 43-54. Zbl0724.35050
  9. [9] J.L Lions, E. Magenes: Problèmes aux limites non homogènes et applications. Vol I & II, Dunod, Paris, 1968. Zbl0165.10801
  10. [10] A. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983. Zbl0516.47023MR710486
  11. [11] J.C. Saut, B. Scheurer: Unique continuation for some evolution equations, J. Diff. Equations, 66(1), 1987, 118-139. Zbl0631.35044MR871574
  12. [12] J. Simon: Compact sets in the space Lp(0,T;B), Annali di Matematica Pura ed Applicata, CXLVI, (IV), 1987, 1173-1191. Zbl0629.46031MR916688
  13. [13] H. Tanabe: Equations of Evolution, Pitman, Bath, 1979 Zbl0417.35003MR533824
  14. [14] H. Triebel: Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Berlin, 1978. Zbl0387.46032MR503903

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