  We study an initial-boundary-value problem for a quasilinear thermoelastic
plate of Kirchhoff \& Love-type with parabolic heat conduction due to Fourier,
mechanically simply supported and held at the reference temperature on the
boundary. For this problem, we show the short-time existence and uniqueness of
classical solutions under appropriate regularity and compatibility assumptions
on the data. Further, we use barrier techniques to prove the global existence
and exponential stability of solutions under a smallness condition on the
initial data. It is the first result of this kind established for a quasilinear
non-parabolic thermoelastic Kirchhoff & Love plate in multiple dimensions.
