# Dispersive estimates for hyperbolic systems with time-dependent coefficients

@article{Ruzhansky2011DispersiveEF, title={Dispersive estimates for hyperbolic systems with time-dependent coefficients}, author={M. Ruzhansky and J. Wirth}, journal={Journal of Differential Equations}, year={2011}, volume={251}, pages={941-969} }

Abstract This paper is devoted to the study of time-dependent hyperbolic systems and the derivation of dispersive estimates for their solutions. It is based on a diagonalisation of the full symbol within adapted symbol classes in order to extract the essential information about representations of solutions. This is combined with a multi-dimensional van der Corput lemma to derive dispersive estimates.

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