### Classical solutions of the Timoshenko system

#### Abstract

We prove the existence and uniqueness of a $C^2$--solution of the Timoshenko system for the motion of an elastic beam. In addition, we give pointwise estimates for the displacement, rotation, shear angle and their derivatives with constants explicitly calculated. The method of proof is based on the Hille--Yosida operator theory.

#### Article information

Source
Adv. Differential Equations Volume 7, Number 7 (2002), 799-818.

Dates
First available in Project Euclid: 27 December 2012

Mathematical Reviews number (MathSciNet)
MR1895166

Zentralblatt MATH identifier
1030.74021

#### Citation

Grimmer, R.; Sinestrari, E. Classical solutions of the Timoshenko system. Adv. Differential Equations 7 (2002), no. 7, 799--818.https://projecteuclid.org/euclid.ade/1356651706