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arXiv · 1006.5600

Dispersive type estimates for Fourier integrals and applications to hyperbolic systems

Michael Ruzhansky·Jens Wirth
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Abstract

In this note we provide 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 multi-dimensional 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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Michael Ruzhansky, Jens Wirth. 2010-06-29. Dispersive type estimates for Fourier integrals and applications to hyperbolic systems. https://arxiv.org/abs/1006.5600

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