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arXiv · 2311.08084

Boundary null controllability of degenerate wave equation as the limit of internal controllability

Bruno S. V. Araújo·Reginaldo Demarque·Luiz Viana
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Abstract

This work is concerned with the possibility of proving the boundary null controllability for the degenerate wave equation, developing the asymptotic analysis of a suitable family of state-control pairs $((u_\varepsilon , v_\varepsilon))_{\varepsilon>0}$, solving related internal null controllability problems. The passage to the limit argument will be rigorously performed through the obtainment of a refined observability type inequality, with a constant explicitly given in terms of $\varepsilon >0$. This represents an essential point, since will allow us to achieve our required weak convergence results.

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Bruno S. V. Araújo, Reginaldo Demarque, Luiz Viana. 2023-11-14. Boundary null controllability of degenerate wave equation as the limit of internal controllability. https://arxiv.org/abs/2311.08084

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