Insensitizing controls for a semilinear heat equation with a superlinear nonlinearity;Contrôles insensibilisants pour une équation de la chaleur semi-linéaire avec non-linéarité superlinéaire

Comptes Rendus Mathematique

Volumn 335, Issue 8, 2002, Pages 677-682

  Bodart, Olivier ^a   González Burgos, Manuel ^b   Pérez García, Rosario ^b  

^a UNIVERSITÉ BLAISE PASCAL   (France)

^b UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038053087     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02547-5     Document Type: Article

References (11)

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3. O. Bodart, M. González-Burgos, R. Pérez-García, Existence of insensitizing controls for a semilinear heat equation with a superlinear nonlinearity, in preparation.
4. O. Bodart, M. González-Burgos, R. Pérez-García, A local result on insensitizing controls for the heat equation with nonlinear boundary Fourier conditions, in preparation.
5. A. Doubova, E. Fernández-Cara, M. González-Burgos, On the controllability of the heat equation with nonlinear boundary Fourier conditions, in preparation.
6. E. Fernández-Cara, E. Zuazua, Null and approximate controllability for weakly blowing up semilinear heat equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (5) (2000) 583-616.
7. A. Fursikov, O.Yu Imanuvilov, Controllability of Evolution Equations, in: Lecture Notes Ser., Vol. 34, Seoul National University, Seoul, 1996.
8. O.A. Ladyzenskaya, V.A. Solonnikov, N.N. Uraltzeva, Linear and Quasilinear Equations of Parabolic Type, Nauka, Moscow, 1967.
9. J.-L. Lions, Quelques notions dans l'analyse et le contrôle de systèmes à données incomplètes, in: Proceedings of the XIth Congress on Differential Equations and Applications, First Congress on Applied Mathematics, University of Málaga, Málaga, 1990, pp. 43-54.
10. L. De Teresa, Insensitizing controls for a semilinear heat equation, Comm. Partial Differential Equations 25 (1&2) (2000) 39-72.
11. E. Zuazua, Exact boundary controllability for the semilinear wave equation, in: H. Brezis, J.-L. Lions (Eds.), Nonlinear Partial Differential Equations and their Applications, Vol. X, Pitman, 1991, pp. 357-391.