The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 233-242
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In this paper necessary and sufficient conditions of null-controllability and approximate null-controllability are obtained for the wave equation on a half-axis. Controls solving these problems are found explicitly. Moreover bang-bang controls solving the approximate null-controllability problem are constructed with the aid of solutions of the Markov trigonometric moment problem.
@article{JMAG_2002_9_2_a8,
author = {G. M. Sklyar and L. V. Fardigola},
title = {The {Markov} trigonometric moment problem in controllability problems for the wave equation on a half-axis},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {233--242},
year = {2002},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a8/}
}
TY - JOUR AU - G. M. Sklyar AU - L. V. Fardigola TI - The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2002 SP - 233 EP - 242 VL - 9 IS - 2 UR - http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a8/ LA - en ID - JMAG_2002_9_2_a8 ER -
%0 Journal Article %A G. M. Sklyar %A L. V. Fardigola %T The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis %J Žurnal matematičeskoj fiziki, analiza, geometrii %D 2002 %P 233-242 %V 9 %N 2 %U http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a8/ %G en %F JMAG_2002_9_2_a8
G. M. Sklyar; L. V. Fardigola. The Markov trigonometric moment problem in controllability problems for the wave equation on a half-axis. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 233-242. http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a8/