MAXIMAL REGULARITY AND GLOBAL EXISTENCE OF SOLUTIONS TO A QUASILINEAR THERMOELASTIC PLATE SYSTEM

@inproceedings{Lasiecka2013MAXIMALRA,
  title={MAXIMAL REGULARITY AND GLOBAL EXISTENCE OF SOLUTIONS TO A QUASILINEAR THERMOELASTIC PLATE SYSTEM},
  author={Irena Lasiecka and Mathias Wilke},
  year={2013}
}
We consider a quasilinear PDE system which models nonlinear vibrations of a thermoelastic plate defined on a bounded domain in R. Wellposedness of solutions reconstructing maximal parabolic regularity in nonlinear thermoelastic plate is established. In addition, exponential decay rates for strong solutions are also shown. 

Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 48 REFERENCES

A

I. Lasiecka, S. Maad
  • Sasane . Existence and exponential decay of solutions to a quasilinear thermoelastic plate system. NODEA, vol 15, pp 689-715
  • 2008
VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

Nonlinear Functional Analysis

VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

J

M. Köhne
  • Prüss and M. Wilke On quasilinear parabolic evolution equations in wheighted Lp-spaces. J. Evol. Equ. 10, 443-463
  • 2010

L theory for the linear thermoelastic plate equations in bounded and exterior domains

R. Denk, Y. Shibata, R. Racke
  • Konstanzer Schriften in Mathematik und Informatik, 240, February
  • 2008
VIEW 1 EXCERPT

Backward uniqueness in linear thermo-elasticity with variable coefficients. Functional Analysis and Evolution Equations, special volume dedicated to G

H. Koch, I.Lasiecka
  • Lumer, Birkhauser,
  • 2007

Analysis of nonlinear thermoelastic plate equations

  • 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)
  • 2004
VIEW 2 EXCERPTS

Similar Papers

Loading similar papers…