Dispersive estimates for hyperbolic systems with time-dependent coefficients

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:251

Article

Ruzhansky, Michael²  Wirth, Jens¹ 

[1] Univ Stuttgart, Fachbereich Math, Inst Anal Dynam & Modellierung, D-70569 Stuttgart, Germany

[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

关键词: Hyperbolic systems;    Diagonalisation;    Dispersive estimates;    Oscillating time-dependent coefficients;    van der Corput lemma;   

DOI  :  10.1016/j.jde.2011.04.022

来源: Elsevier

【 摘 要 】

This paper is devoted to the study of time-dependent hyperbolic systems and the derivation of dispersive estimates for their solutions. It is based on a diagonalisation of the full symbol within adapted symbol classes in order to extract the essential information about representations of solutions. This is combined with a multi-dimensional van der Corput lemma to derive dispersive estimates. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free