In this paper, we consider a nonlinear wave equation associated with the Dirichlet boundary condition. First, the existence and uniqueness of a weak solution are proved by using the Faedo-Galerkin method. Next, we present an asymptotic expansion of high order in many small parameters of a weak solution. This extends recent corresponding results where an asymptotic expansion of a weak solution in two or three small parameters is established.
In this paper, we consider a nonlinear wave equation associated with the Dirichlet boundary condition. First, the existence and uniqueness of a weak solution are proved by using the Faedo-Galerkin method. Next, we present an asymptotic expansion of high order in many small parameters of a weak solution. This extends recent corresponding results where an asymptotic expansion of a weak solution in two or three small parameters is established.
| APA | Ngoc, L. T. P. (2011). An asymptotic expansion of a weak solution for a nonlinear wave equation. (Journal Article). http://journals.math.ac.vn/acta/images/stories/pdf1/Vol_36_No_3/12_V36N3_Acta_10_62_B3.pdf |
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| MLA | Le Thi Phuong Ngoc. An asymptotic expansion of a weak solution for a nonlinear wave equation. 2011. Spinger. Journal Article. http://journals.math.ac.vn/acta/images/stories/pdf1/Vol_36_No_3/12_V36N3_Acta_10_62_B3.pdf |
| Chicago | Le Thi Phuong Ngoc. "An asymptotic expansion of a weak solution for a nonlinear wave equation. "(Journal Article, Spinger, 2011) |