## Boundary stabilization, observation and control of Maxwell’s equations.(English)Zbl 0849.35136

This paper is devoted to the boundary stabilization, observability and exact controllability of Maxwell’s equations $E'- \text{curl } H= H'+ \text{curl } E= 0,\;\text{div } E= \text{div } H= 0\quad \text{in } \Omega\times (0, + \infty),$ $$E(0)= E^0$$ and $$H(0)= H^0$$ in $$\Omega$$, where $$\Omega$$ is a bounded open domain in $$\mathbb{R}^3$$, under suitable boundary conditions. We assume that $$\Omega$$ has a boundary $$\Gamma$$ of class $$C^1$$.

### MSC:

 35Q60 PDEs in connection with optics and electromagnetic theory 93B05 Controllability