Gevrey regularity for the Euler-Bernoulli beam equation with localized structural damping

被引：2
|
作者：
Caggio, Matteo [1 ]
Dell'Oro, Filippo [2 ]
机构：
[1] Acad Sci Czech Republ, Inst Math, Prague, Czech Republic
[2] Politecn Milan, Dipartimento Matemat, Milan, Italy
来源：
APPLICABLE ANALYSIS | 2024年 / 103卷 / 09期
关键词：
Euler-Bernoulli beam; localized structural damping; Gevrey class; differentiability; exponential stability; EXACT CONTROLLABILITY; EXPONENTIAL DECAY; DISSIPATION; SEMIGROUPS; STABILITY; ENERGY;
D O I：
10.1080/00036811.2023.2256354
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a Euler-Bernoulli beam equation with localized discontinuous structural damping. As our main result, we prove that the associated C-0- semigroup (S(t))(t >= 0) is of Gevrey class delta > 24 for t > 0, hence immediately differentiable. Moreover, we show that (S(t))(t >= 0) is exponentially stable.
引用
收藏
页码：1587 / 1603
页数：17
相关论文
共 50 条
12345