On a nonlinear wave equation of Kirchhoff-carrier type: linear approximation and asymptotic expansion of solution in a small parameter
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.
scientific article; zbMATH DE number 7018830