Decay of solutions of a system of nonlinear Klein-Gordon equations.
Simultaneous exact controllability for Maxwell equations and for a second-order hyperbolic system.
Energy decay for solutions to semilinear systems of elastic waves in exterior domains.
On perturbed wave equations with time-dependent coefficients
Stabilization of a layered piezoelectric 3-D body by boundary dissipation
We consider a linear coupled system of quasi-electrostatic equations which govern the evolution of a 3-D layered piezoelectric body. Assuming that a dissipative effect is effective at the boundary, we study the uniform stabilization problem. We prove that this is indeed the case, provided some geometric conditions on the region and the interfaces hold. We also assume a monotonicity condition on the coefficients. As an application, we deduce exact controllability of the system with boundary control...
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