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.
Evolution for overdetermined systems in (small) Gevrey classes
BOITI, Chiara;
2009
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.File in questo prodotto:
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