Formal Gevrey theory for singular first order quasi-linear partial differential equations (Q998132)
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scientific article; zbMATH DE number 5178736
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formal Gevrey theory for singular first order quasi-linear partial differential equations |
scientific article; zbMATH DE number 5178736 |
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Formal Gevrey theory for singular first order quasi-linear partial differential equations (English)
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10 August 2007
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Formal power series solution of the degenerate first order quasi-linear PDE is studied for the case when Cauchy-Kovalevskaya' theorem is not available. The rate of divergence (Gevrey order) of formal solution is obtained by the Newton polyhedras of nonlinear partial differential operator.
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singular PDE
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formal power series solution
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Gevrey theory
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Newton polyhedron
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existence
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uniqueness
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convergence
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rate of divergence
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