Determination of special eigenwaves as a result of amplitude measurements
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 2, pp. 25-33
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An analytical formula for a special wave, which allows one to calculate wave energy and vibration frequency (in case of a vibrating wave) and to find out a minimum amount of necessary measurements, is written out depending on the measured amplitude values. The direct and inverse problems are solved.
Keywords:
wave equation, wave, direct and inverse problems.
@article{UZKU_2014_156_2_a2,
author = {A. V. Golovtsov and V. S. Mokeichev},
title = {Determination of special eigenwaves as a~result of amplitude measurements},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {25--33},
publisher = {mathdoc},
volume = {156},
number = {2},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a2/}
}
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A. V. Golovtsov; V. S. Mokeichev. Determination of special eigenwaves as a result of amplitude measurements. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 156 (2014) no. 2, pp. 25-33. http://geodesic.mathdoc.fr/item/UZKU_2014_156_2_a2/