On Diophantine properties for convergence of formal solutions (Q1079729)
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scientific article; zbMATH DE number 3964463
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Diophantine properties for convergence of formal solutions |
scientific article; zbMATH DE number 3964463 |
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On Diophantine properties for convergence of formal solutions (English)
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1986
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The author presents a theorem which gives a necessary and sufficient criterion for the convergence of all formal solutions of a partial differential equation \(P(x;\partial)u=f(x)x^{\omega}\), (\(\omega\in {\mathbb{C}}\), f analytic), in two variables \(x_ 1,x_ 2\). The short note also contains some remarks and two corollaries, but for details the author refers to a preprint of another paper.
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formal solutions
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