On C∞ well-posedness of hyperbolic systems with multiplicities

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Title: On C∞ well-posedness of hyperbolic systems with multiplicities
Authors: Garetto, C
Ruzhansky, M
Item Type: Journal Article
Abstract: In this paper we study first order hyperbolic systems of any order with multiple characteristics (weakly hyperbolic) and time-dependent analytic co- efficients. The main question is when the Cauchy problem for such systems is well-posed in C ∞ and in D 0 . We prove that the analyticity of the coefficients com- bined with suitable hypotheses on the eigenvalues guarantee the C ∞ well-posedness of the corresponding Cauchy problem.
Issue Date: 25-Feb-2017
Date of Acceptance: 11-Feb-2017
ISSN: 1618-1891
Publisher: Springer Verlag (Germany)
Start Page: 1819
End Page: 1834
Journal / Book Title: Annali di Matematica Pura ed Applicata
Volume: 196
Copyright Statement: © The Author(s) 2017. This article is published with open access at
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Funder's Grant Number: EP/K039407/1
Keywords: 0101 Pure Mathematics
General Mathematics
Publication Status: Published
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences

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