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

Published 14 Nov 2012 in math.AP | (1211.3271v1)

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

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