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

页码：1587 / 1603

页数：17

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