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Title: On C ∞ well-posedness of hyperbolic systems with multiplicities
Authors: Garetto, Claudia
Ruzhansky, Michael
Issue Date: 2016
Publisher: arXiv.org
Citation: GARETTO, C. and RUZHANSKY, M., 2016. On C ∞ well-posedness of hyperbolic systems with multiplicities. arXiv:1512.06243v2 [math.AP]
Abstract: In this paper we study first order hyperbolic systems with multiple characteristics (weakly hyperbolic) and time-dependent analytic coefficients. The main question is when the Cauchy problem for such systems is well-posed in C∞ and in D′. We prove that the analyticity of the coefficients combined with suitable hypotheses on the eigenvalues guarantee the C∞ well-posedness of the corresponding Cauchy problem. This result is an extension to systems of the analogous results for scalar equations recently obtained by Jannelli and Taglialatela in [13] and by the authors in [8].
Description: This pre-print was submitted to arXiv on 11 January 2016.
Version: Submitted for publication
URI: https://dspace.lboro.ac.uk/2134/20041
Publisher Link: http://arxiv.org/abs/1512.06243v2
Appears in Collections:Pre-prints (Maths)

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