Global Regular Solutions to a Kelvin-Voigt Type Thermoviscoelastic   System
  A classical 3-D thermoviscoelastic system of Kelvin-Voigt type is considered. The existence and uniqueness of a global regular solution is proved without small data assumption. The existence proof is based on the successive approximation method. The crucial part constitute a priori estimates on an arbitrary finite time interval, which are derived with the help of the theory of anisotropic Sobolev spaces with a mixed norm. 
Irena Pawlow and Wojciech M. Zajaczkowski
math.AP math-ph math.MP