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arXiv · 1301.3346

On weakly hyperbolic equations with analytic principal part

Claudia Garetto·Michael Ruzhansky
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Abstract

In this paper we show how to include low order terms in the $C^{\infty}$ well-posedness results for weakly hyperbolic equations with analytic time-dependent coefficients. This is achieved by doing a different reduction to a system from the previously used one. We find the Levi conditions such that the $C^{\infty}$ well-posedness continues to hold.

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Claudia Garetto, Michael Ruzhansky. 2013-01-15. On weakly hyperbolic equations with analytic principal part. https://doi.org/10.1016/j.jmaa.2013.09.011

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