Differential and Integral Equations

On linear hyperbolic systems with multiple characteristics

Matthias Hieber

Abstract

In this paper, the $L^p$ behavior of systems of linear, hyperbolic partial differential equations is examined by means of the theory of integrated semigroups. We show in particular how the degree of integration and therefore the regularity of the solution depends on the multiplicity of the eigenvalues of the symbol.

Article information

Source
Differential Integral Equations, Volume 8, Number 4 (1995), 877-886.

Dates
First available in Project Euclid: 20 May 2013