论文标题
具有非线性记忆的半线性结构阻尼波模型的爆炸结果
Blow up results for semi-linear structural damped wave model with nonlinear memory
论文作者
论文摘要
本文将研究全球解决方案对任何空间维度的$ \ r^n $在$ \ r^n $中的半线性结构抑制波方程的不存在，对于任何空间维度$ n \ ge 1 $，对于最初的任意小数据而言，该数据受阳性假设的约束。我们打算应用修改后的测试功能的方法来建立爆炸结果并克服某些困难，并由众所周知的分数拉普拉斯$（-Δ）^{σ/2} $在结构阻尼项上。
This article is to study the nonexistence of global solutions to semi-linear structurally damped wave equation with nonlinear memory in $\R^n$ for any space dimensions $n\ge 1$ and for the initial arbitrarily small data being subject to the positivity assumption. We intend to apply the method of a modified test function to establish blow-up results and to overcome some difficulties as well caused by the well-known fractional Laplacian $(-Δ)^{σ/2}$ in structural damping terms.
