Publication Cover
Applicable Analysis
An International Journal
Volume 47, 1992 - Issue 1-4
27
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

Global uniform decay rates for the solutions to wave equation with nonlinear boundary conditions

Pages 191-212 | Received 15 Apr 1991, Published online: 17 Sep 2008

References

  • Chen , G. 1979 . Energy decay estimates and exact boundary value controllability for the wave equation in a bounded domain , Vol. 58 , 249 – 274 . J. math. Pures Appl. .
  • Lagnese , J. 1983 . Decay of solutions of the wave equation in a bounded region with boundary dissipation , Vol. 50 , 163 – 182 . J. Differential Equations .
  • V. Kormornik - E. Zuazua, A direct method for the boundary stabilization of the wave eq., J. Math. Pure Appl. to appear.
  • Lagnese , J. 1989 . Boundary stabilization of thin plates , SIAM studies in Applied Mathematics .
  • Lasiecka , I. 1989 . Stabilization of wave and plate equations with nonlinear dissipation on the boundary , Vol. 79 , 340 – 381 . Journal Diff, Eq. .
  • Zuazua , E. 1990 . Uniform stabilization of the wave equation by nonlinear boundary feedback , Vol. 28 , 466 – 478 . SIAM J. on Control and Optimization .
  • Conrad , F. , Leblond , J. and Marmorat , J. P. 1989 . Stabilization of second order evolution equations by unbounded nonlinear feedback , 111 – 116 . Proceedings of IFAC Conference . Perpignan
  • Lasiecka , I. 1988 . Boundary stabilization of hyperbolic and parabolic equations with nonlinearly perturbed boundary conditions , Vol. 75 , 53 – 87 . J. Diff. Eq. .
  • Simon , J. 1987 . Compact sets in the space LP(OT; B) Annali di Matematica Pura et Applicata IV , Vol. CXLVI , 65 – 96 . Compact sets in the space LP(OT; B) Annali di Matematica Pura et Applicata IV .
  • Lasiecka , I. and Stahel , A. 1990 . The wave equation with nonlinear boundary conditions , Vol. 15 , 39 – 58 . Journal of Nonlinear Analysis, Theory, Methods and Applications .
  • Lasiecka , I. and Triggiani , R. 1990 . Sharp regularity results for second order hyperbolic equations of Neumann type , Annali di Mathematica Pura et Applicata to appear in 1990 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.