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arXiv · 1005.2492

Dispersive estimates for hyperbolic systems with time-dependent coefficients

Michael Ruzhansky·Jens Wirth
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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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Michael Ruzhansky, Jens Wirth. 2010-05-14. Dispersive estimates for hyperbolic systems with time-dependent coefficients. https://doi.org/10.1016/j.jde.2011.04.022

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