## Systems of partial differential equations and classes of Gevrey. (Systèmes d’équations aux dérivées partielles et classes de Gevrey.)(French. Abridged English version)Zbl 0836.35033

Summary: We consider a square matrix $$h$$ of analytic linear partial differential operators; we define invariant conditions $$LG$$ which depend only on $$h$$ and which permit to determine the Gevrey classes where the Cauchy problem is well posed.

### MSC:

 35F10 Initial value problems for linear first-order PDEs 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs