Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 147, pp. 1-25.

Title: Quasistatic evolution of damage in an elastic-viscoplastic material
       
Author: Kenneth Kuttler (Brigham Young Univ., Provo, UT, USA)

Abstract: 
 The mathematical theory of quasistatic elastic viscoplastic models
 with damage is studied. The existence of the unique local weak
 solution is established by using approximate problems and a priori
 estimates. Pointwise estimates on the damage are obtained using a
 new comparison technique which removes the necessity of including
 a subgradient term in the equation for damage.
 
Submitted September 16, 2005. Published December 12, 2005.
Math Subject Classifications: 74D10, 74R99, 74C10, 35K50, 35K65, 35Q72, 35B05.
Key Words: Existence and uniqueness; damage; comparison theorems;
           elastic viscoplastic materials.