Integral Transform Approach to Generalized Tricomi Equations

2014/12/31 by Karen Yagdjian, Yagdjian, Karen
Mathematics · #35C15 #35Q05 #35Q75 #76H05 #83F05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35C15 #msc:35Q05 #msc:35Q75 #msc:76H05 #msc:83F05

paper · pdf · doi:10.48550/arxiv.1501.00069

arxiv created 2015/04/18 · arxiv updated 2015/04/21

Abstract

We present some integral transform that allows to obtain solutions of the generalized Tricomi equation from solutions of a simpler equation. We used in [13,14],[41]-[46] the particular version of this transform in order to investigate in a unified way several equations such as the linear and semilinear Tricomi equations, Gellerstedt equation, the wave equation in Einstein-de Sitter spacetime, the wave and the Klein-Gordon equations in the de Sitter and anti-de Sitter spacetimes.

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