Formal \(P\)-Gevrey series solutions of first order holomorphic PDEs
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.
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| creator | Carrillo, Sergio A Hurtado, Carlos A |
| description | 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. |
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| subjects | Algorithms Analytic functions Mathematical analysis Norms Power series |
| title | Formal \(P\)-Gevrey series solutions of first order holomorphic PDEs |
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