2020/02/11 by Sergio A. Carrillo, Carrillo, Sergio A., Carlos Hurtado +1
Computer Science · Physics and Astronomy · Mathematics · #Polynomial and algebraic computation #Nonlinear Waves and Solitons #Advanced Mathematical Identities
paper · pdf · doi:10.48550/arxiv.2002.04404
We provide a complete and self-contained proof of the Gevrey character, in an analytic function P, of formal power series solutions of some families of first order holomorphic PDEs. Our approach is based on a majorant series technique by applying Nagumo norms joint with a division algorithm.