The operator \(B^*L\) for the wave equation with Dirichlet control
Summary: In the case of the wave equation, defined on a sufficiently smooth bounded domain of arbitrary dimension, and subject to Dirichlet boundary control, the operator \(B^*L\) from boundary to boundary is bounded in the \(L_2\)-sense. The proof combines hyperbolic differential energy methods with a microlocal elliptic component. This is a corrigendum and addendum to the authors' paper [ibid. 2003, No. 19, 1061--1139 (2003; Zbl 1064.35100)].
scientific article; zbMATH DE number 2163679