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

Vaillant, Jean

C. R. Acad. Sci., Paris, Sér. I 320, No. 12, 1469-1474 (1995).

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

Keywords:

well posedness of the Cauchy problem; analytic linear partial differential operators; Gevrey classes