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Existence and asymptotic expansion of the weak solution for a wave equation with nonlinear source containing nonlocal term
oleh: Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long
Format: | Article |
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Diterbitkan: | SpringerOpen 2017-06-01 |
Deskripsi
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.