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In this paper we analyse the Gevrey well-posedness of the Cauchy problem forweakly hyperbolic equations of general form with time-dependent coefficients.The results involve the order of lower order terms and the number of multipleroots. We also derive the corresponding well-posedness results in the space ofGevrey Beurling ultradistributions.

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