Wavelet-based integral representation for solutions of the wave equation

DOI10.1088/1751-8113/42/37/375211zbMath1181.35032arXiv0809.2211OpenAlexW2055429747MaRDI QIDQ3648231

Mikhail S. Sidorenko, Maria V. Perel

Publication date: 24 November 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2211

zbMATH Keywords

continuous wavelet analysissuperposition of other solutions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral representations of solutions to PDEs (35C15) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)

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SYMMETRIZATION AND ENHANCEMENT OF THE CONTINUOUS MORLET TRANSFORM FOR SPECTRAL DENSITY ESTIMATION ⋮ Bendlet transforms: a mathematical perspective ⋮ Properties of the affine Poincaré wavelet transform ⋮ Quasiphotons for the nonstationary 2D Dirac equation ⋮ Decomposition of Solutions of the Wave Equation into Poincaré Wavelets ⋮ Edge adapted wavelets, solar magnetic activity, and climate change ⋮ Justification of a wavelet-based integral formula for solutions of the wave equation ⋮ An operator method for the stability of inhomogeneous wave equations

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