On t-dependent hyperbolic systems. Part 2

Abstract

We consider hyperbolic equations with time-dependent coefficients and develop an abstract framework to derive the asymptotic behaviour of the representation of solutions for large times. We are dealing with generic situations where the large-time asymptotics is of hyperbolic type. Our approach is based on diagonalisation procedures combined with asymptotic integration arguments.

29 pages

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Cited by in corpus (1)

• Feynman propagators and Hadamard states from scattering data for the Klein-Gordon equation on asymptotically Minkowski spacetimes