Global steady-state stabilization and controllability of 1-D semilinear wave equations

ment of the fixed point method: Theorem 1 is reduced to the obtention of suitable observability estimates for the wave equation with potential.. This estimates are

FATTORINI, Estimates for Sequences Biorthogonal to Certain Complex Exponentials and Boundary Control of the Wave Equation, in Lecture Notes in Control and Information

In the second part of this article, as a consequence of the stabilization result of Theorem 1, we establish an exact controllability result for a semilinear subcritical wave equation

We first state the well-posedness of system (1.1).. When dealing with control problems for the wave equation, the finite speed of propagation affects to the minimal time interval

This paper is concerned with the global exact controllability of the semilinear heat equation (with nonlinear terms involving the state and the gradient) completed with

For technical reasons, we prefer here to apply the fixed point method to the approximate controllability problem to the zero state and then use the observability inequality to

If a second order semilinear conservative equation with esssentially oscillatory solutions such as the wave equation is perturbed by a possibly non monotone damping term which

We prove the exact boundary controllability of the 3-D Euler equation of incompressible inviscid fluids on a regular connected bounded open set when the control operates on an open