On the well-posedness of weakly hyperbolic equations with time-dependent coefficients
journal contributionposted on 28.07.2014 by Claudia Garetto, Michael Ruzhansky
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In this paper we analyse the Gevrey well-posedness of the Cauchy problem for weakly hyperbolic equations of general form with time-dependent coefficients. The results involve the order of lower order terms and the number of multiple roots. We also derive the corresponding well-posedness results in the space of Gevrey Beurling ultradistributions.
- Mathematical Sciences