论文标题
kreiss有限的行为$ C_0 $ -Semigroups在希尔伯特空间上
Behavior of Kreiss bounded $C_0$-semigroups on a Hilbert space
论文作者
论文摘要
令$ 0 <α\ leq 1 $。我们证明，Hilbert Space上的$α$ -Kreiss限制$ C_0 $ C_0 $ SEMIGROUP $（T_T）_ {t \ GE 0} $具有渐近性$ || T_T || = o \ big（t^α/\ sqrt {log（t）} \ big）$。然后，我们将应用程序应用于扰动的波动方程。
Let $0<α\leq 1$. We prove that a $α$-Kreiss bounded $C_0$ semigroup $(T_t)_{t \ge 0}$ on a Hilbert space has asymptotics $||T_t|| = O\big(t^α/\sqrt{log(t)}\big)$. Then, we give an application to perturbed wave equation.
