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Internal Stabilizability of Some Diffusive Models

✍ Scribed by Bedr'Eddine Ainseba; Michel Langlais; Sebastian Aniţa

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
111 KB
Volume
265
Category
Article
ISSN
0022-247X

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✦ Synopsis

We consider a single species population dynamics model with age dependence, spatial structure, and a nonlocal birth process arising as a boundary condition. We prove that under a suitable internal feedback control, one can improve the stabilizability results given in Kubo and Langlais [J. Math. Biol. 29 (1991), 363-378]. This result is optimal.

Our proof relies on an identical stabilizability result of independent interest for the heat equation, that we state and prove in Section 3.

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