Maximal regularity and global existence of solutions to a quasilinear thermoelastic plate system

摘要

We consider a quasilinear PDE system which models nonlinear vibrations of athermoelastic plate defined on a bounded domain in R^n. Well-posedness ofsolutions reconstructing maximal parabolic regularity in nonlinearthermoelastic plates is established. In addition, exponential decay rates forstrong solutions are also shown.