Thursday, 01 December 2011
Journal title: ACTA Mathematica Vietnamica
(Volume 36, Number 3, 2011, pp. 695–722)
Author: LE THI PHUONG NGOC, LE KHANH LUAN, NGUYEN THANH LONG
RANKING: SCOPUS, C
Abstract
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.
Link: http://journals.math.ac.vn/acta/images/stories/pdf1/Vol_36_No_3/12_V36N3_Acta_10_62_B3.pdf