In this paper we consider a system in non divergence form which models the interaction between two different species u and v. Both of them depend on time, on age and on space. Moreover, the diffusion coefficients degenerate at the boundary of domain. We study, in particular, null controllability of the system via observability inequalities and Carleman estimates for the associated non homogeneous adjoint problem.
Boutaayamou, I., Fragnelli, G. (2020). A degenerate population system: Carleman estimates and controllability. NONLINEAR ANALYSIS, 195, 1-29 [10.1016/j.na.2019.111742].
A degenerate population system: Carleman estimates and controllability
Fragnelli G.
2020-01-01
Abstract
In this paper we consider a system in non divergence form which models the interaction between two different species u and v. Both of them depend on time, on age and on space. Moreover, the diffusion coefficients degenerate at the boundary of domain. We study, in particular, null controllability of the system via observability inequalities and Carleman estimates for the associated non homogeneous adjoint problem.File in questo prodotto:
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https://hdl.handle.net/11365/1279784