Dispersive estimates for hyperbolic systems with time-dependent coefficients

Details Dispersive estimates for hyperbolic systems with time-dependent coefficients Dispersive estimates for hyperbolic systems with time-dependent coefficients

2010-05-14

arxiv.org/abs/1005.2492v2

Journal of Differential Equations, 251 (2011) 941-969

Mathematics

Analysis of PDEs

35 pages

Scientific paper

10.1016/j.jde.2011.04.022

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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