Null controllability of population dynamics with interior degeneracy
Date
2017-05-12
Authors
Boutaayamou, Idriss
Echarroudi, Younes
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Population dynamics model, Interior degeneracy, Carleman estimate, Observability inequality, Null controllability
Citation
Boutaayamou, I., & Echarroudi, Y. (2017). Null controllability of population dynamics with interior degeneracy. <i>Electronic Journal of Differential Equations, 2017</i>(131), pp. 1-21.
Rights
Attribution 4.0 International