文章基本信息

标题：General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
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作者：Salah Boulaaras ; Fares Kamache ; Youcef Bouizem 等
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2020
卷号：2020
期号：1
页码：1-24
DOI：10.1186/s13661-020-01470-w
出版社：Hindawi Publishing Corporation
摘要：The paper studies the global existence and general decay of solutions using Lyapunov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term. In addition, we establish the blow-up of solutions with nonpositive initial energy.
关键词：General decay ; Global existence ; Fractional boundary dissipation ; Blow-up ; Memory term