Dispersive type estimates for fourier integrals and applications to hyperbolic systems

Michael Ruzhansky; Jens Wirth

doi:10.3934/proc.2011.2011.1263

Article Contents

2011, Volume 2011: 1263-1270. Doi: 10.3934/proc.2011.2011.1263 open access

This issue Previous Article Classification of a class of relative equilibria in three body coulomb systems Next Article Particular solution to the Euler-Cauchy equation with polynomial non-homegeneities

Dispersive type estimates for fourier integrals and applications to hyperbolic systems

Michael Ruzhansky^1, and
Jens Wirth^1,

1.
Department of Mathematics, Imperial College London, 180 Queen's Gate, London, SW7 2AZ

Received: May 31, 2010

Revised: December 31, 2010

Published: August 2017

Abstract Related Papers Cited by

Abstract

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:

Mathematics Subject Classification: Primary: 35B45; Secondary: 35L05, 35L45.

Citation:

Article Metrics

HTML views() PDF downloads(43) Cited by(0)

Dispersive type estimates for fourier integrals and applications to hyperbolic systems

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Dispersive type estimates for fourier integrals and applications to hyperbolic systems

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content