Wave equation on Riemannian symmetric spaces

DOI10.1016/j.crma.2009.04.031zbMath1167.58016OpenAlexW2075669900MaRDI QIDQ1028070

Ali Hassani

Publication date: 30 June 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.04.031

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Hyperbolic equations on manifolds (58J45)

Cites Work

• The spherical Fourier transform of rapidly decreasing functions. A simple proof of a characterization due to Harish-Chandra, Helgason, Trombi, and Varadarajan
• Weighted Strichartz estimates for the Schrödinger and wave equations on Damek-Ricci spaces
• Generalized Strichartz inequalities for the wave equation
• Besov spaces on symmetric manifolds—the atomic decomposition
• Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
• Besov spaces and Strichartz estimates on the Heisenberg group
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