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. |
| doi_str_mv | 10.48550/arxiv.2002.04404 |
| format | Article |
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analytic function $P$, of formal power series solutions of some families of
first order holomorphic PDEs. Our approach is based on a majorant series
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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.</abstract><doi>10.48550/arxiv.2002.04404</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | Formal $P$-Gevrey series solutions of first order holomorphic PDEs |
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