-regularity of the boundary to boundary operator for hyperbolic and Petrowski PDEs.
Lasiecka, I., Triggiani, R. (2003)
Abstract and Applied Analysis
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Displaying similar documents to “Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation”
-regularity of the boundary to boundary operator for hyperbolic and Petrowski PDEs.
A Carleman estimates based approach for the stabilization of some locally damped semilinear hyperbolic equations
Louis Tebou (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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First, we consider a semilinear hyperbolic equation with a locally distributed damping in a bounded domain. The damping is located on a neighborhood of a suitable portion of the boundary. Using a Carleman estimate [Duyckaerts, Zhang and Zuazua, Ann. Inst. H. Poincaré Anal. Non Linéaire (to appear); Fu, Yong and Zhang, SIAM J. Contr. Opt. 46 (2007) 1578–1614], we prove that the energy of this system decays exponentially to zero as the time variable goes to infinity. Second, relying on...
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ESAIM: Control, Optimisation and Calculus of Variations
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We consider transmission problems for general second order linear hyperbolic systems having piecewise constant coefficients in a bounded, open connected set with smooth boundary and controlled through the Dirichlet boundary condition. It is proved that such a system is exactly controllable in an appropriate function space provided the interfaces where the coefficients have a jump discontinuity are all star-shaped with respect to one and the same point and the coefficients satisfy...
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Lasiecka, I., Triggiani, R. (2004)
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