C. Boiti and R. Meise EVOLUTION FOR OVERDETERMINED SYSTEMS IN (SMALL) GEVREY CLASSES
نویسنده
چکیده
Abstract. Given a system of linear partial differential operators with constant coefficients whose affine algebraic varieties V (℘̌) have dimension 1, we establish in which classes of (small) Gevrey functions the associated Cauchy problem admits at least one solution, looking at the Puiseux series expansions on the branches at infinity of the algebraic curves V (℘̌). We focus, in particular, on the case of two variables, giving some examples.
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تاریخ انتشار 2009