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- W4312091370 abstract "In this paper, we study the impulse controllability of a multi-dimensional heat equation with dynamic boundary conditions in a bounded smooth domain. Using a recent approach based on finite-time stabilization, we show that the system is impulse null controllable at any positive time via impulse controls supported in a nonempty open subset of the physical domain. Furthermore, we infer an explicit estimate for the exponential decay of the solution. The proof of the main result combines a logarithmic convexity estimate and some spectral properties associated to dynamic boundary conditions. In our setting, the nature of the equations, which couple intern-boundary phenomena, makes it necessary to go into quite sophisticated estimates incorporating several boundary terms." @default.
- W4312091370 created "2023-01-04" @default.
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- W4312091370 date "2022-12-20" @default.
- W4312091370 modified "2023-09-26" @default.
- W4312091370 title "Finite-time stabilization and impulse control of heat equation with dynamic boundary conditions" @default.
- W4312091370 doi "https://doi.org/10.48550/arxiv.2212.10342" @default.
- W4312091370 hasPublicationYear "2022" @default.
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