Dispersive Type Estimates for Fourier Integrals and Applications to Hyperbolic Systems
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چکیده
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 first author. Applications to dispersive estimates for hyperbolic systems and scalar higher order hyperbolic equations are also discussed.
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تاریخ انتشار 2011