Skip to main content
Log in

The reachability problem for thermoelastic plates

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. C. M. Dafermos, On the existence and the asymptotic stability of solutions of the equations of linear thermoelasticity, Arch. Rational Mech. Anal. 29 (1968), pp. 241–271.

    Google Scholar 

  2. G. Duvaut & J.-L. Lions, “Les Inéquations en Mécanique et en Physique,” Dunod, Paris, 1972.

    Google Scholar 

  3. J. Gobert, Une inéquation fundamentale de la théorie de l'élasticité, Bull. Soc. Royale des Sc. de Liège 31 (1962), pp. 182–191.

    Google Scholar 

  4. P. Grisvard, Caractérisation de quelques espaces d'interpolation, Arch. Rational Mech. Anal. 25 (1967), pp. 40–63.

    Google Scholar 

  5. J. E. Lagnese, Uniform boundary stabilization of homogeneous isotropic plates, in Lecture Notes in Control and Information Science, Vol. 102 (1986), pp. 204–216.

    Google Scholar 

  6. J. E. Lagnese, “Boundary Stabilization of Thin Plates,” SIAM Studies in Applied Mathematics, Vol. 10, SIAM, Philadelphia, 1989.

    Google Scholar 

  7. J. E. Lagnese & J.-L. Lions, “Modelling, Analysis and Control of Thin Plates,” Collection RMA, Vol. 6, Masson, Paris, 1988.

    Google Scholar 

  8. J.-L. Lions, Exact controllability, stabilization and perturbations for distributed systems, SIAM Review, 30 (1988), pp. 1–68.

    Google Scholar 

  9. J.-L. Lions, “Contrôlabilité Exacte, Perturbations et Stabilisation de Systèmes Distribués, Vol. 2,” Collection RMA, Vol. 9, Masson, Paris, 1988.

    Google Scholar 

  10. J.-L. Lions & E. Magenes, “Non-Homogeneous Boundary Value Problems I,” Springer-Verlag, Berlin, 1972.

    Google Scholar 

  11. K. Narukawa, Boundary value control of thermoelastic systems, Hiroshima Math. J., 13 (1983), pp. 227–272.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by C. Dafermos

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lagnese, J.E. The reachability problem for thermoelastic plates. Arch. Rational Mech. Anal. 112, 223–267 (1990). https://doi.org/10.1007/BF00381235

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00381235

Keywords

Navigation