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Title: A note on weakly hyperbolic equations with analytic principal part
Authors: Garetto, Claudia
Ruzhansky, Michael
Keywords: Hyperbolic equations
Well-posedness
Issue Date: 2014
Publisher: © The Authors. Published by Elsevier Inc.
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.
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.
Description: 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/
Sponsor: Engineering and Physical Sciences Research Council
Version: Published
DOI: 10.1016/j.jmaa.2013.09.011
URI: https://dspace.lboro.ac.uk/2134/17277
Publisher Link: http://dx.doi.org/10.1016/j.jmaa.2013.09.011
ISSN: 0022-247X
Appears in Collections:Published Articles (Maths)

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