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}
}
  • M. Ruzhansky, J. Wirth
  • Published 2011
  • Mathematics
  • Journal of Differential Equations
  • 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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