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 a thermoelastic plate defined on a bounded domain in R~n. Global Well-posedness of solutions is shown by applying the theory of maximal parabolic regularity of type L_p. In addition, we prove exponential decay rates for strong solutions and their derivatives.