On a nonlinear wave equation of Kirchhoff-carrier type: linear approximation and asymptotic expansion of solution in a small parameter (Q1720790)
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scientific article; zbMATH DE number 7018830
| Language | Label | Description | Also known as |
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| English | On a nonlinear wave equation of Kirchhoff-carrier type: linear approximation and asymptotic expansion of solution in a small parameter |
scientific article; zbMATH DE number 7018830 |
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On a nonlinear wave equation of Kirchhoff-carrier type: linear approximation and asymptotic expansion of solution in a small parameter (English)
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8 February 2019
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Summary: We consider the Robin-Dirichlet problem for a nonlinear wave equation of Kirchhoff-Carrier type. Using the Faedo-Galerkin method and the linearization method for nonlinear terms, the existence and uniqueness of a weak solution are proved. An asymptotic expansion of high order in a small parameter of a weak solution is also discussed.
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