Measures of controllability.
Lions, J.L. (1994)
Georgian Mathematical Journal
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Lions, J.L. (1994)
Georgian Mathematical Journal
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Oumar Traore (2010)
Annales mathématiques Blaise Pascal
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In this paper we study a linear population dynamics model. In this model, the birth process is described by a nonlocal term and the initial distribution is unknown. The aim of this paper is to use a controllability result of the adjoint system for the computation of the density of individuals at some time .
Chalishajar, Dimplekumar N., George, Raju K. (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gomez, Felix P.Quispe, Kapitonov, Boris V. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cannarsa, Piermarco, Fragnelli, Genni (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lara, Teodoro, Leiva, Hugo (2007)
Divulgaciones Matemáticas
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Wehbe, Ali (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cannarsa, Piermarco, de Teresa, Luz (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Leiva, Hugo (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ceballos V., Juan Carlos, Pavez F., Ricardo, Villagrán, Octavio Paulo Vera (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Armen Shirikyan (2007)
Journées Équations aux dérivées partielles
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This short note is devoted to a discussion of a general approach to controllability of PDE’s introduced by Agrachev and Sarychev in 2005. We use the example of a 1D Burgers equation to illustrate the main ideas. It is proved that the problem in question is controllable in an appropriate sense by a two-dimensional external force. This result is not new and was proved earlier in the papers [, ] in a more complicated situation of 2D Navier–Stokes equations.