Null controllability of population dynamics with interior degeneracy

Null controllability of population dynamics with interior degeneracy

In this article, we study the null controllability of population model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and then we deduce a suitable observability inequality which will be needed to establish the existence of a c...

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Veröffentlicht in:Electronic journal of differential equations 2017-05, Vol.2017 (131), p.1-21
Hauptverfasser: Idriss Boutaayamou, Younes Echarroudi
Format: Artikel
Sprache:eng
Schlagworte:
Carleman estimate
interior degeneracy
null controllability
observability inequality
Population dynamics model
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Zusammenfassung:In this article, we study the null controllability of population model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and then we deduce a suitable observability inequality which will be needed to establish the existence of a control acting on a subset of the space which lead the population to extinction in a finite time.
ISSN:1072-6691