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 Rn. Global Well-posedness of solutions is shown by applying the theory of maximal parabolic regularity of type Lp. In addition, we prove exponential decay rates for strong solutions and their derivatives.

Publication Title

Discrete and Continuous Dynamical Systems- Series A