Mathematics – Analysis of PDEs
Scientific paper
2010-06-29
Disc. Cont. Dyn. Systems, Suppl. (2011), 1263--1270
Mathematics
Analysis of PDEs
8 pages
Scientific paper
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.
Ruzhansky Michael
Wirth Jens
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