The Cauchy problem for the Euler-Poisson-Darboux equation in a homogeneous symmetric Riemannian space. I

zbMath0614.35067MaRDI QIDQ1820326

L. A. Ivanov, I. A. Kipriyanov

Publication date: 1987

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemLaplace operatorsymmetric spaceHuygens principleEuler-Poisson-Darboux equationIwasawa decompositionexplicit formulas

Mathematics Subject Classification ID

Boundary value problems on manifolds (58J32) Euler-Poisson-Darboux equations (35Q05) Hyperbolic equations and hyperbolic systems (35L99) Hyperbolic equations on manifolds (58J45)

Related Items (5)

Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces ⋮ Abstract Cauchy problem for the Bessel-Struve equation ⋮ Cauchy problems with modified conditions for the Euler-Poisson-Darboux equations in the hyperbolic space ⋮ Wave propagation on Riemannian symmetric spaces ⋮ Uniquely solvable problems for abstract Legendre equation

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