Dispersive type estimates for Fourier integrals and applications to hyperbolic systems
Analysis of PDEs
2012-03-20 v1
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.
Cite
@article{arxiv.1006.5600,
title = {Dispersive type estimates for Fourier integrals and applications to hyperbolic systems},
author = {Michael Ruzhansky and Jens Wirth},
journal= {arXiv preprint arXiv:1006.5600},
year = {2012}
}
Comments
8 pages