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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
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