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math.AP2014
Integral transform approach to solving Klein-Gordon equation with variable coefficients
Karen Yagdjian
In this paper we describe the integral transform that allows to write solutions of one partial differential equation via solution of another one. This transform was suggested by th…
math.AP2014
Global solutions for semilinear Klein-Gordon equations in FLRW spacetimes
Anahit Galstian, Karen Yagdjian
We consider waves, which obey the semilinear Klein-Gordon equation, propagating in the Friedmann-Lemaitre-Robertson-Walker spacetimes. The equations in the de Sitter and Einstein-d…