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A note on weakly hyperbolic equations with analytic principal part
journal contribution
posted on 2015-04-15, 10:26 authored by Claudia Garetto, Michael RuzhanskyIn 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.
Funding
Engineering and Physical Sciences Research Council
History
School
- Science
Department
- Mathematical Sciences
Published in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONSVolume
412Issue
1Pages
1 - 14 (14)Citation
GARETTO, C. and RUZHANSKY, M., 2014. A note on weakly hyperbolic equations with analytic principal part. Journal of Mathematical Analysis and Applications, 412 (1), pp. 1 - 14.Publisher
© The Authors. Published by Elsevier Inc.Version
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution 3.0 Unported (CC BY 3.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/3.0/Publication date
2014Notes
This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Full details of the CC BY licence are available at: http://creativecommons.org/licenses/by/3.0/ISSN
0022-247XPublisher version
Language
- en
