On the summability of formal solutions for doubly singular nonlinear partial differential equations (Q437068)
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scientific article; zbMATH DE number 6057757
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the summability of formal solutions for doubly singular nonlinear partial differential equations |
scientific article; zbMATH DE number 6057757 |
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On the summability of formal solutions for doubly singular nonlinear partial differential equations (English)
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17 July 2012
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The author studies singularly perturbed nonlinear PDEs of irregular type in the complex domain. Using the Borel-Laplace transforms he constructs actual holomorphic solutions of this problem. He shows that this holomorphic solutions have a common formal power series asymptotic expansion of Gevrey order 1 in the perturbation parameter.
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Borel-Laplace transform
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Cauchy problem
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formal power series
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nonlinear integro-differential equation
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