On continuous dependence for the mixed problem of microstretch bodies

Abstract

We do a qualitative study on the mixed initial-boundary value problem in the elastodynamic theory of microstretch bodies. After we trans- form this problem in a temporally evolutionary equation on a Hilbert space, we will use some results from the theory of semigroups of linear operators in order to prove the continuous dependence of the solutions upon initial data and supply terms.

Keywords

• elasticity
• microstretch
• evolution equations
• semi-group of contractions
• primary 74a15
• secondary 47a45
• 35d30