论文标题
带有无界阻尼的阻尼波方程的伪镜
Pseudospectra of the damped wave equation with unbounded damping
论文作者
论文摘要
我们分析了带有无限阻尼的阻尼波方程发电机的伪谱。我们表明，解析标准差异为$ \ re z \ to - \ infty $。运算符的高度非正态特征是即使增加了强势，也可以保留出强大的效果。因此，存在光谱不稳定性和其他相关的伪光谱效应。
We analyze pseudospectra of the generator of the damped wave equation with unbounded damping. We show that the resolvent norm diverges as $\Re z \to - \infty$. The highly non-normal character of the operator is a robust effect preserved even when a strong potential is added. Consequently, spectral instabilities and other related pseudospectral effects are present.
