Correction to “Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity”
Weijiu Liu (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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Weijiu Liu (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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Lionel Rosier (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Weijiu Liu (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The problem of partial exact boundary controllability and exponential stability for the higher-dimensional linear system of thermoelasticity is considered. By introducing a velocity feedback on part of the boundary of the thermoelastic body, which is clamped along the rest of its boundary, to increase the loss of energy, we prove that the energy in the system of thermoelasticity decays to zero exponentially. We also give a positive answer to a related open question raised by Alabau...
John E. Lagnese (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Serge Nicaise, Cristina Pignotti (2003)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the stabilization of Maxwell’s equations with space-time variable coefficients in a bounded region with a smooth boundary by means of linear or nonlinear Silver–Müller boundary condition. This is based on some stability estimates that are obtained using the “standard” identity with multiplier and appropriate properties of the feedback. We deduce an explicit decay rate of the energy, for instance exponential, polynomial or logarithmic decays are available for appropriate feedbacks. ...