Multisummability of formal solutions of some linear partial differential equations (Q1864644)
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scientific article; zbMATH DE number 1884211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multisummability of formal solutions of some linear partial differential equations |
scientific article; zbMATH DE number 1884211 |
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Multisummability of formal solutions of some linear partial differential equations (English)
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18 March 2003
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The author treats formal power series solutions \(\widetilde u(t,x)= \sum^\infty_{n=1} u_n(x)t^n\) of a linear partial differential equation in \(\mathbb{C}^{d+1}\) \[ P(t,x,\partial_t,\partial_x) u(t,x)=f(t,x),\;(t,x)\in \mathbb{C}\times \mathbb{C}^d. \] {}.
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asymptotic expansion
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formal power series in time
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