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Linear Approximation and Asymptotic Expansion associated to the Robin-Dirichlet Problem for a Kirchhoff-Carrier Equation with a Viscoelastic Term

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In this paper, we consider the Robin-Dirichlet problem for a nonlinear wave equation of Kirchho -Carrier type with a viscoelastic term. 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.

Abstract

In this paper, we consider the Robin-Dirichlet problem for a nonlinear wave equation of Kirchho -Carrier type with a viscoelastic term. 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.

참고문헌 (32)

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