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

Matteo Caggio; Filippo Dell'Oro

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

Analysis of PDEs 2022-12-15 v1

Authors: Matteo Caggio , Filippo Dell'Oro

Abstract

We study a Euler-Bernoulli beam equation with localized discontinuous structural damping. As our main result, we prove that the associated $C_0$ -semigroup $(S(t))_{t\geq0}$ is of Gevrey class $\delta>24$ for $t>0$ , hence immediately differentiable. Moreover, we show that $(S(t))_{t\geq0}$ is exponentially stable.

Keywords

operator semigroups stability theory

Cite

@article{arxiv.2212.07110,
  title  = {Gevrey regularity for the Euler-Bernoulli beam equation with localized structural damping},
  author = {Matteo Caggio and Filippo Dell'Oro},
  journal= {arXiv preprint arXiv:2212.07110},
  year   = {2022}
}

Related papers

View all related →