Maximal regularity and global existence of solutions to a quasilinear   thermoelastic plate system
  We consider a quasilinear PDE system which models nonlinear vibrations of a thermoelastic plate defined on a bounded domain in R^n. Well-posedness of solutions reconstructing maximal parabolic regularity in nonlinear thermoelastic plates is established. In addition, exponential decay rates for strong solutions are also shown. 
Irena Lasiecka, Mathias Wilke
math.AP