Exact controllability for semilinear wave equations in one space dimension
E. Zuazua (1993)
Annales de l'I.H.P. Analyse non linéaire
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E. Zuazua (1993)
Annales de l'I.H.P. Analyse non linéaire
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Enrique Fernández-Cara, Enrique Zuazua (2000)
Annales de l'I.H.P. Analyse non linéaire
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Liu, Wei-Jiu (2000)
Portugaliae Mathematica
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E. Zerrik, R. Larhrissi, H. Bourray (2007)
International Journal of Applied Mathematics and Computer Science
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The paper aims at extending the notion of regional controllability developed for linear systems cite to the semilinear hyperbolic case. We begin with an asymptotically linear system and the approach is based on an extension of the Hilbert uniqueness method and Schauder's fixed point theorem. The analytical case is then tackled using generalized inverse techniques and converted to a fixed point problem leading to an algorithm which is successfully implemented numerically and illustrated...
J. J. Díaz, A. M. Ramos (1995)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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A. K. Nandakumaran, R. K. George (1995)
Revista Matemática de la Universidad Complutense de Madrid
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In this article, we prove the partial exact controllability of a nonlinear system. We use semigroup formulation together with fixed point approach to study the nonlinear system.
Vilmos Komornik (1989)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Manuel Milla Miranda (1996)
Revista Matemática de la Universidad Complutense de Madrid
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