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Dispersive type estimates for fourier integrals and applications to hyperbolic systems
Michael Ruzhansky Jens Wirth
Conference Publications 2011, 2011(Special): 1263-1270 doi: 10.3934/proc.2011.2011.1263
In this note we announce dispersive estimates for Fourier integrals with parameter-dependent phase functions in terms of geometric quantities of associated families of Fresnel surfaces. The results are based on a multidimensional van der Corput lemma due to the rst author.
    Applications to dispersive estimates for hyperbolic systems and scalar higher order hyperbolic equations are also discussed.
keywords: dispersive estimates Fourier integrals hyperbolic Cauchy problems

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