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arXiv · 1904.07038

Carleman estimate for an adjoint of a damped beam equation and an application to null controllability

Sourav Mitra
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Abstract

In this article we consider a control problem of a linear Euler-Bernoulli damped beam equation with potential in dimension one with periodic boundary conditions. We derive a new Carleman estimate for an adjoint of the equation under consideration. Then using a well known duality argument we obtain explicitly the control function which can be used to drive the solution trajectory of the control problem to zero state.

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Sourav Mitra. 2019-04-15. Carleman estimate for an adjoint of a damped beam equation and an application to null controllability. https://arxiv.org/abs/1904.07038

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