Fundamental solutions for wave equation in Robertson-Walker model of universe and \(L^p-L^q\)-decay estimates

DOI10.3934/dcdss.2009.2.483zbMath1193.35101arXiv0710.3878OpenAlexW1965901136MaRDI QIDQ843348

Karen Yagdjian, Anahit Galstian

Publication date: 12 October 2009

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3878

zbMATH Keywords

hypergeometric functionsfundamental solutiondecay estimatestime-dependent coefficientde Sitter universe model

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Integral representations of solutions to PDEs (35C15) Wave equation (35L05) PDEs in connection with relativity and gravitational theory (35Q75) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

On a semilinear wave equation in anti-de Sitter spacetime: The critical case, A note on blow-up results for semilinear wave equations in de Sitter and anti-de Sitter spacetimes, Lifespan estimates for local solutions to the semilinear wave equation in Einstein–de Sitter spacetime, Potentials and point symmetries of Klein–Gordon equations in space-time homogenous Gödel-type metrics