The Markov power moment problem in problems of controllability and frequency extinguishing for the wave equation on a half-axis
The authors prove a necessary and sufficient condition of null-controllability and approximate null-controllability for the wave equation on a half-axis. As is shown in a cited reference, the frequency extinguishing problem for a finite string is equivalent to the Markov trigonometric moment problem. The authors show that the frequency extinguishing problem for an infinite string can be reduced to the Markov trigonometric moment problem. Furthermore, they prove that solutions of the frequency extinguishing problem are also solutions of the approximate null-controllability problem.
scientific article; zbMATH DE number 1866735