On the summability of formal solutions of nonlinear partial differential equations with shrinkings (Q885027)
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scientific article; zbMATH DE number 5162415
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the summability of formal solutions of nonlinear partial differential equations with shrinkings |
scientific article; zbMATH DE number 5162415 |
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On the summability of formal solutions of nonlinear partial differential equations with shrinkings (English)
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7 June 2007
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Nonlinear PDEs with deviating variables are under consideration. The author gives sufficient conditions for the existence and uniqueness of formal series in the variable \(t\). He also obtains new sufficient conditions, both on the shape of governing equation and on initial conditions, under which constructed formal series solutions are 1-summable.
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nonlinear PDE
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Cauchy problem
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shrinking
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asymptotic estimation
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power series solution
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Borel summability
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Gevrey estimate
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