The Regularity of the Wave Equation with Partial Dirichlet Control and Colocated Observation
The Regularity of the Wave Equation with Partial Dirichlet Control and Colocated Observation
In this paper we analyze a multidimensional controlled wave equation on a bounded domain, subject to partial Dirichlet control and colocated observation. By means of a partial Fourier transform, it is shown that the system is well-posed and regular in the sense of D. Salamon and G. Weiss. The corresponding …