A note on weakly hyperbolic equations with analytic principal part
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Accepted version
Published version
Author(s)
Garetto, Claudia
Ruzhansky, Michael
Type
Journal Article
Abstract
In this note we show how to include low order terms in the C∞ well-posedness results for weakly hyperbolic equations with analytic time-dependent coefficients. This is achieved by doing a different reduction to a system from the previously used one. We find the Levi conditions such that the C∞ well-posedness continues to hold.
Date Issued
2014-04-01
Date Acceptance
2013-09-12
Citation
Journal of Mathematical Analysis and Applications, 2014, 412 (1), pp.1-14
ISSN
0022-247X
Publisher
Elsevier
Start Page
1
End Page
14
Journal / Book Title
Journal of Mathematical Analysis and Applications
Volume
412
Issue
1
Copyright Statement
© 2013 The Authors. Published by Elsevier Inc. Open access under CC BY license.
License URL
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/G007233/1
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Hyperbolic equations
Well-posedness
CAUCHY-PROBLEM
SYMMETRIZATION
COEFFICIENTS
Publication Status
Published