the open loop system of weakly coupled wave equations with dirichlet boundary control and collocated observation is considered.we present that the system is well-posed in the sense of d.salamon and regular in the sense of g.weiss.using the multiplier method,we get the expression of feedthrough operator.
The open loop system of weakly coupled wave equations with Dirichlet boundary control and collocated observation is considered.We present that the system is well-posed in the sense of D.Salamon and regular in the sense of G.Weiss.Using the multiplier method,we get the expression of feedthrough operator.