On the well-posedness of weakly hyperbolic equations with time dependent coefficients

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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.

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