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

2012/11/14 by Lasiecka, Irena, Wilke, Mathias
#35B40 #74F05 (Primary) 35B30 #74H40 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1211.3271

Abstract

We consider a quasilinear PDE system which models nonlinear vibrations of a thermoelastic plate defined on a bounded domain in Rⁿ. 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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