\(L^ \infty\)-decay estimations of the spherical mean value on symmetric spaces

DOI10.1007/BF02108299zbMath0826.58039OpenAlexW1979742082MaRDI QIDQ1345434

Paul Günther

Publication date: 4 December 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02108299

zbMATH Keywords

Huygens' principlesymmetric spacewave equationsnon-compact type\(L^ \infty\)-decay estimationsspherical mean value operator

Mathematics Subject Classification ID

Second-order hyperbolic equations (35L10) Hyperbolic equations on manifolds (58J45)

Related Items (1)

A semilinear wave equation on hyperbolic spaces.

Cites Work

• On the existence of global solutions of nonlinear wave equations
• Wave propagation on Riemannian symmetric spaces
• Huygens' principle for wave equations on symmetric spaces
• Decay estimates for the solutions of the non-euclidean wave-equations
• Weighted L∞ and L1 estimates for solutions to the classical wave equation in three space dimensions
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