Dang, Jian and Hu, Qingying and Zhang, Hongwei (2018) Asymptotic Stability and Blow-up of Solutions for the Generalized Boussinesq Equation with Nonlinear Boundary Condition. Open Journal of Mathematical Analysis, 2(2018 (2). pp. 93-113. ISSN 26168103
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Official URL: https://doi.org/10.30538/psrp-oma2018.0021
Abstract
In this paper, we consider initial boundary value problem of the generalized Boussinesq equation with nonlinear interior source and boundary absorptive terms. We establish both the existence of the solution and a general decay of the energy functions under some restrictions on the initial data. We also prove a blow-up result for solutions with positive and negative initial energy respectively.
Item Type: | Article |
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Subjects: | Open Research Librarians > Mathematical Science |
Depositing User: | Unnamed user with email support@open.researchlibrarians.com |
Date Deposited: | 21 Feb 2023 08:37 |
Last Modified: | 30 Dec 2023 13:36 |
URI: | http://stm.e4journal.com/id/eprint/100 |