论文标题

具有内存和分数边界阻尼项的非线性波方程的溶液的一般衰减和爆炸

General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms

论文作者

Boulaaras, Salah, Kamache, Fares, Bouizem, Youcef, Guefaifia, Rafik

论文摘要

该论文考虑了分数衍生的边界条件和记忆项,研究了使用Lyaponov功能来实现非线性波方程的溶液的整体衰变和一般衰变。此外,我们建立了具有非阳性初始能量的溶液的爆炸。

The paper studies the global existence and general decay of solutions using Lyaponov 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.

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