학술논문
Existence and asymptotic expansion of the weak solution for a wave equation with nonlinear source containing nonlocal term
Document Type
article
Source
Boundary Value Problems, Vol 2017, Iss 1, Pp 1-20 (2017)
Subject
Language
English
ISSN
1687-2770
Abstract
Abstract In this paper, we consider the Robin problem for a wave equation with nonlinear source containing nonlocal term. Using the Faedo-Galerkin method and the linearization method for nonlinear term, 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.