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.
Published inJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Pages1 - 14 (14)
CitationGARETTO, 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.
VersionVoR (Version of Record)
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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/