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Some results on the well-posedness for systems with time dependent coefficients

Marcello D’Abbicco; Giovanni Taglialatela — 2009

Annales de la faculté des sciences de Toulouse Mathématiques

We consider hyperbolic systems with time dependent coefficients and size $2$ or $3$ . We give some sufficient conditions in order the Cauchy Problem to be well-posed in $𝒞^{\infty}$ and in Gevrey spaces.

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