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- W4387133604 abstract "In this paper, we study the null controllability of systems of $ n $-coupled parabolic equations with dynamic boundary conditions, where the coupling and control matrices $ A $ and $ B $ are constant in time and space. Being different to the case of static boundary conditions, we will show that the Kalman rank condition $ rank[B, AB,dots, A^{n-1}B ] = n $ is a sufficient condition, we also show that it is necessary for the null controlability under an extra assumption on the boundary coupling. The null controlability result will be proved by proving Carleman and observability inequalities for the corresponding adjoint problem." @default.
- W4387133604 created "2023-09-29" @default.
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- W4387133604 date "2023-01-01" @default.
- W4387133604 modified "2023-10-02" @default.
- W4387133604 title "Null controllability for parabolic systems with dynamic boundary conditions" @default.
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- W4387133604 doi "https://doi.org/10.3934/eect.2023051" @default.
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