Article Contents
Article Contents

# 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 $\mathbb{R}^n$. 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.
Mathematics Subject Classification: Primary: 74F05; Secondary: 35B30, 35B40, 74H40.

 Citation:

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