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http://hdl.handle.net/2067/46389
Title: | Carleman Estimates and Controllability for a Degenerate Structured Population Model | Authors: | Fragnelli, Genni Yamamoto, Masahiro |
Journal: | APPLIED MATHEMATICS AND OPTIMIZATION | Issue Date: | 2021 | Abstract: | In this paper we study the null controllability property for a single population model in which the population y depends on time t, space x, age a and size τ. Moreover, the diffusion coefficient k is degenerate at a point of the domain or both extremal points. Our technique is essentially based on Carleman estimates. The τ dependence requires us to modify the weight for the Carleman estimates, and accordingly the proof of the observability inequality. Thanks to this observability inequality we obtain a null controllability result for an intermediate problem and finally for the initial system through suitable cut off functions. |
URI: | http://hdl.handle.net/2067/46389 | ISSN: | 0095-4616 | DOI: | 10.1007/s00245-020-09669-0 |
Appears in Collections: | A1. Articolo in rivista |
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