Huygen principle and equipartition of energy for the modified wave equation associated to a generalized radial Laplacian

DOI10.5802/AMBP.199zbMath1088.35036OpenAlexW2327469045MaRDI QIDQ2569339

Chokri Yacoub, Jamel El Kamel

Publication date: 18 October 2005

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_2005__12_1_147_0

zbMATH Keywords

Laplace-Beltrami operatorDamek-Ricci spaces

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Wave equation (35L05) Hyperbolic equations on manifolds (58J45)

Related Items (3)

Huygens' principle and a Paley-Wiener type theorem on Damek-Ricci spaces ⋮ The shifted wave equation on non-flat harmonic manifolds ⋮ The Shifted Wave Equation on Damek–Ricci Spaces and on Homogeneous Trees

Cites Work

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• Wave propagation on Riemannian symmetric spaces
• Huygens' principle for wave equations on symmetric spaces
• Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups
• Huygens' principle in Riemannian symmetric spaces
• Equipartition of energy in wave motion
• Translation representations for the solution of the non-euclidean wave equation
• Théoreme de Paley-Wiener associe à un opérateur différentiel singulier sur \((0,+\infty)\)

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