On C∞ well-posedness of hyperbolic systems with multiplicities
File(s)
Published vesion
Accepted version
Author(s)
Garetto, C
Ruzhansky, M
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.
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.
Date Issued
2017-02-25
Date Acceptance
2017-02-11
Citation
Annali di Matematica Pura ed Applicata, 2017, 196, pp.1819-1834
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 Springerlink.com
License URL
Sponsor
Engineering & Physical Science Research Council (EPSRC)
The Leverhulme Trust
Grant Number
EP/K039407/1
RPG-2014-002
Subjects
0101 Pure Mathematics
General Mathematics
Publication Status
Published