Differential and Integral Equations

Null controllability of a population dynamics with degenerate diffusion

Bedr'Eddine Ainseba, Younes Echarroudi, and Lahcen Maniar

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Abstract

In this paper, we are interested in the null controllability of a linear population dynamics model with degenerate dispersion coefficient. We develop first a Carleman-type inequality for its adjoint system, and then an observability inequality which allows us to establish the existence of a control acting on a subset of the space domain which steers the population of a certain age to extinction in a finite time.

Article information

Source
Differential Integral Equations, Volume 26, Number 11/12 (2013), 1397-1410.

Dates
First available in Project Euclid: 4 September 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1378327432

Mathematical Reviews number (MathSciNet)
MR3129015

Zentralblatt MATH identifier
1313.35193

Subjects
Primary: 35K65: Degenerate parabolic equations 92D25: Population dynamics (general) 93B05: Controllability 93B07: Observability

Citation

Ainseba, Bedr'Eddine; Echarroudi, Younes; Maniar, Lahcen. Null controllability of a population dynamics with degenerate diffusion. Differential Integral Equations 26 (2013), no. 11/12, 1397--1410. https://projecteuclid.org/euclid.die/1378327432


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