We consider two degenerate heat equations with a nonlocal space term, studying, in particular, their null controllability property. To this aim, we first consider the associated nonhomogeneous degenerate heat equations: we study their well posedness, the Carleman estimates for the associated adjoint problems and, finally, the null controllability. Then, as a consequence, using the Kakutani's fixed point Theorem, we deduce the null controllability property for the initial nonlocal problems.
Allal, B., Fragnelli, G., Salhi, J. (2024). Null controllability for degenerate parabolic equations with a nonlocal space term. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 17(5&6), 1821-1856 [10.3934/dcdss.2022164].
Null controllability for degenerate parabolic equations with a nonlocal space term
Fragnelli, Genni
;
2024-01-01
Abstract
We consider two degenerate heat equations with a nonlocal space term, studying, in particular, their null controllability property. To this aim, we first consider the associated nonhomogeneous degenerate heat equations: we study their well posedness, the Carleman estimates for the associated adjoint problems and, finally, the null controllability. Then, as a consequence, using the Kakutani's fixed point Theorem, we deduce the null controllability property for the initial nonlocal problems.File | Dimensione | Formato | |
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https://hdl.handle.net/11365/1274737