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Gevrey estimates for certain moment partial differential equations

Published 27 Dec 2018 in math.AP and math.CV | (1812.10698v2)

Abstract: We consider the Cauchy problem for inhomogeneous linear moment differential equations with holomorphic time dependent coefficients. Using such tools as the formal norms, theory of majorants and the properties of the Newton polygon, we obtain the Gevrey estimate for the formal solution of the equation.

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