Open Access
VOL. 47.1 | 2007 Dispersive estimates for solutions of multi-dimensional isotropic symmetric hyperbolic systems
Chapter Author(s) Thomas C. Sideris
Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida
Adv. Stud. Pure Math., 2007: 55-63 (2007) DOI: 10.2969/aspm/04710055

Abstract

An approach to obtaining dispersive estimates for certain multi-dimensional linear hyperbolic systems will be described. The key result is a local energy decay estimate which provides the intermediate link between the generalized Sobolev inequality and the energy inequality.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

MathSciNet: MR2387225

Digital Object Identifier: 10.2969/aspm/04710055

Rights: Copyright © 2007 Mathematical Society of Japan

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