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General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
Boundary Value Problems ( IF 1.7 ) Pub Date : 2020-11-30 , DOI: 10.1186/s13661-020-01470-w
Salah Boulaaras , Fares Kamache , Youcef Bouizem , Rafik Guefaifia

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.

中文翻译:

具有记忆和分数边界阻尼项的非线性波动方程解的一般衰减和爆破

本文考虑了分数阶导数边界条件和存储项,使用非线性波动方程的Lyapunov函数研究了解的整体存在性和一般衰减。此外,我们建立了具有正初始能量的爆破解决方案。
更新日期:2020-12-01
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