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arXiv · 1107.2565

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

Claudia Garetto·Michael Ruzhansky
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Abstract

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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Claudia Garetto, Michael Ruzhansky. 2011-07-13. On the well-posedness of weakly hyperbolic equations with time dependent coefficients. https://arxiv.org/abs/1107.2565

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