Decomposition of Solutions of the Wave Equation into Poincaré Wavelets

Maria V. Perel () and Evgeny A. Gorodnitskiy
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Maria V. Perel: Saint Petersburg University
Evgeny A. Gorodnitskiy: Saint Petersburg University

Chapter Chapter 27 in Integral Methods in Science and Engineering, 2019, pp 343-352 from Springer

Abstract: Abstract An integral representation of solutions of the wave equation in terms of elementary solutions with known properties is constructed. This representation is found by affine Poincaré continuous wavelet analysis. The efficiency of the formulas derived in this way for an applied problem is also discussed.

Date: 2019
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DOI: 10.1007/978-3-030-16077-7_27

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