The Markov power moment problem in problems of controllability and frequency extinguishing for the wave equation on a half-axis
type: Item
instance of: scholarly article
title: The Markov power moment problem in problems of controllability and frequency extinguishing for the wave equation on a half-axis
zbMATH Open document ID: 1017.93015
DOI: 10.1016/S0022-247X(02)00380-3
author: Larissa V. Fardigola
author: G. M. Sklyar
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 44A60
Mathematics Subject Classification ID: 47N70
zbMATH DE Number: 1866735
zbMATH Keywords: null-controllability
zbMATH Keywords: approximate null-controllability
zbMATH Keywords: wave equation
zbMATH Keywords: frequency extinguishing problem
zbMATH Keywords: finite string
zbMATH Keywords: Markov trigonometric moment problem
zbMATH Keywords: infinite string
MaRDI profile type: Publication
cites work: Q4283302
cites work: Q4003203
cites work: TIME OPTIMALITY AND THE POWER MOMENT PROBLEM
cites work: Q5748405
cites work: Q3780831
cites work: Q5682743
cites work: The left shift semigroup approach to stability of distributed systems
cites work: A General Necessary Condition for Exact Observability
cites work: Q5795279
cites work: A unified approach to constrained approximate controllability for the heat equations and the retarded equations
cites work: Regularity of some structurally damped problems with point control and with boundary control
cites work: Energy decay and exact controllability for the Petrovsky equation in a bounded domain
description: scientific article; zbMATH DE number 1866735