The wave equation on homogeneous trees

DOI10.1007/BF02505986zbMath0955.35048MaRDI QIDQ1570405

Guia Medolla, Alberto G. Setti

Publication date: 27 February 2001

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

initial value problemconvolution with suitable wave kernelsspherical Fourier analysis

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Wave equation (35L05)

Related Items (3)

An Introduction to Dunkl Theory and Its Analytic Aspects ⋮ The Shifted Wave Equation on Damek–Ricci Spaces and on Homogeneous Trees ⋮ On the analogue of the Fefferman-Stein theorem on graphs with the Cheeger property

Cites Work

• Equipartition of energy for waves in symmetric space
• Wave propagation on Riemannian symmetric spaces
• Huygens' principle for wave equations on symmetric spaces
• \(L^ p\)-\(L^ q\) estimates for functions of the Laplace-Beltrami operator on noncompact symmetric spaces. I
• Explicit solutions for the wave equation on homogeneous trees
• Huygens' principle in Riemannian symmetric spaces
• Estimates for functions of the Laplace operator on homogeneous trees
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