Necessary and sufficient condition for existence and uniqueness of the solution of Cauchy problem for holomorphic Fuchsian operators.
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Terbeche, Mekki (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Grzegorz Łysik (2003)
Colloquium Mathematicae
It is proved that the solution to the initial value problem , u(0,x) = 1/(1+x²), does not belong to the Gevrey class in time for 0 ≤ s < 1. The proof is based on an estimation of a double sum of products of binomial coefficients.
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