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

Carleman estimate for an adjoint of a damped beam equation and an application to null controllability (Q2287310)

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Carleman estimate for an adjoint of a damped beam equation and an application to null controllability
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    Carleman estimate for an adjoint of a damped beam equation and an application to null controllability (English)
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    20 January 2020
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    In this article the author has studied a control problem of a linear Euler-Bernoulli damped beam equation with potential in dimension one with periodic boundary conditions. A new Carleman estimate is derived for an adjoint of the equation under consideration. Then using a well known duality argument the author obtained explicitly the control function which can be used to drive the solution trajectory of the control problem to zero state.
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    Euler-Bernoulli damped beam equation
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    potential
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    Carleman estimate
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    null controllability
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