English

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

Analysis of PDEs 2012-11-15 v1

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.

Keywords

Cite

@article{arxiv.1211.3271,
  title  = {Maximal regularity and global existence of solutions to a quasilinear thermoelastic plate system},
  author = {Irena Lasiecka and Mathias Wilke},
  journal= {arXiv preprint arXiv:1211.3271},
  year   = {2012}
}

Comments

14 pages