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Integral Methods in Science and Engineering pp 343–352Cite as

Birkhäuser

Decomposition of Solutions of the Wave Equation into Poincaré Wavelets

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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.

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Authors and Affiliations

  1. Saint Petersburg University, Saint Petersburg, Russia

    Maria V. Perel & Evgeny A. Gorodnitskiy

Authors
  1. Maria V. Perel
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  2. Evgeny A. Gorodnitskiy
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Correspondence to Maria V. Perel .

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Editors and Affiliations

  1. Department of Mathematics, The University of Tulsa, Tulsa, OK, USA

    Christian Constanda

  2. Computing, Engineering, and Mathematics, University of Brighton, Brighton, UK

    Paul Harris

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Perel, M.V., Gorodnitskiy, E.A. (2019). Decomposition of Solutions of the Wave Equation into Poincaré Wavelets. In: Constanda, C., Harris, P. (eds) Integral Methods in Science and Engineering. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-16077-7_27

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