Idriss Boutaayamou, Younes Echarroudi
Abstract:
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.
Submitted January 9, 2017. Published May 12, 2017.
Math Subject Classifications: 35K65, 92D25, 93B05, 93B07.
Key Words: Population dynamics model; interior degeneracy; Carleman estimate;
observability inequality; null controllability.
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Idriss Boutaayamou Faculté polydisciplinaire de Ouarzazate Université Ibn Zohr B.P. 638, Ouarzazate 45000, Morocco email: dsboutaayamou@gmail.com |
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Younes Echarroudi Private University of Marrakesh Km 13 Route d'Amizmiz, Marrakesh, Morocco email: yecharroudi@gmail.com, y.echarroudi@upm.ac.ma |
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