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arXiv · 2209.14351

Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions

Rodrigo Lecaros·Roberto Morales·Ariel Pérez·Sebastián Zamorano
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Abstract

We consider a fully-discrete approximations of 1-D heat equation with dynamic boundary conditions for which we provide a controllability result. The proof of this result is based on a relaxed observability inequality for the corresponding adjoint system. This is done by using a suitable Carleman estimate for such models where the discrete parameters $h$ and $\Delta t$ are connected to the one of the large Carleman parameters.

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Rodrigo Lecaros, Roberto Morales, Ariel Pérez, Sebastián Zamorano. 2022-09-28. Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions. https://arxiv.org/abs/2209.14351

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