In this paper we deal with the null controllability for degenerate/singular parabolic systems with memory terms. To this aim, we first prove the null controllability property for some auxiliary nonhomogeneous degenerate/singular problems via new Carleman estimates for their corresponding adjoint systems. Then, under a condition on the kernels, using the Kakutani's fixed point theorem, we deduce null controllability results for the initial problems with memory.
Allal, B., Fragnelli, G., Salhi*, J. (2022). Controllability for degenerate/singular parabolic systems involving memory terms. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 15(12), 3445-3480 [10.3934/dcdss.2022071].
Controllability for degenerate/singular parabolic systems involving memory terms
Fragnelli, Genni
;
2022-01-01
Abstract
In this paper we deal with the null controllability for degenerate/singular parabolic systems with memory terms. To this aim, we first prove the null controllability property for some auxiliary nonhomogeneous degenerate/singular problems via new Carleman estimates for their corresponding adjoint systems. Then, under a condition on the kernels, using the Kakutani's fixed point theorem, we deduce null controllability results for the initial problems with memory.
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https://hdl.handle.net/11365/1274474