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Integral representation of solutions of the wave equation based on Poincaré wavelets. / Perel, Maria V.
Proceedings of the International Conference Days on Diffraction 2009. Institute of Electrical and Electronics Engineers Inc., 2009. стр. 159-161.Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная
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TY - GEN
T1 - Integral representation of solutions of the wave equation based on Poincaré wavelets
AU - Perel, Maria V.
N1 - M. V. Perel, "Integral representation of solutions of the wave equation based on Poincaré wavelets," Proceedings of the International Conference Days on Diffraction 2009, St. Petersburg, Russia, 2009, pp. 159-161.
PY - 2009
Y1 - 2009
N2 - We present here an exact integral representation of solutions of the wave equation with constant coefficients in two spatial dimensions in terms of localized solutions. A solution is given as a superposition of localized solutions each of which lives in the reference system, which moves in the x direction with velocity v. To obtain any solution, we must take into account all |v| ≤ c, where c is the velocity of wave propagation, and use also shifts and scaling. The representation is constructed by means of space-temporal wavelet theory which is applied to the section of a solution in the plane y = 0.
AB - We present here an exact integral representation of solutions of the wave equation with constant coefficients in two spatial dimensions in terms of localized solutions. A solution is given as a superposition of localized solutions each of which lives in the reference system, which moves in the x direction with velocity v. To obtain any solution, we must take into account all |v| ≤ c, where c is the velocity of wave propagation, and use also shifts and scaling. The representation is constructed by means of space-temporal wavelet theory which is applied to the section of a solution in the plane y = 0.
UR - https://ieeexplore.ieee.org/document/5562609/authors#authors
M3 - Conference contribution
SN - 9781424448746
SP - 159
EP - 161
BT - Proceedings of the International Conference Days on Diffraction 2009
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2009 International Conference Days on Diffraction, DD 2009
Y2 - 26 May 2009 through 29 May 2009
ER -
ID: 4467240