Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions (Q1793617)
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scientific article; zbMATH DE number 6953604
| Language | Label | Description | Also known as |
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| English | Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions |
scientific article; zbMATH DE number 6953604 |
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Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions (English)
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12 October 2018
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Summary: This paper is devoted to the study of a nonlinear Carrier wave equation in an annular membrane associated with Robin-Dirichlet conditions. Existence and uniqueness of a weak solution are proved by using the linearization method for nonlinear terms combined with the Faedo-Galerkin method and the weak compact method. Furthermore, an asymptotic expansion of a weak solution of high order in a small parameter is established.
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