35
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Local boundary controllability for the semilinear plate equation

Pages 357-391 | Published online: 08 May 2007

  • Adams , R. 1975 . “ Sobolev Spaces ” . New York : Academic Press .
  • Chewning , W.C. 1976 . Controllability of the nonlinear wave equation in several space variables . SIAM J. Control , 14 : 19 – 25 .
  • Deimling , K. and Fattorini , H.O. 1975 . Local controllability of a nonlinear wave equation . Math. Systems Theory , 9 : 30 – 45 .
  • 1985 . “ Local controllability of a nonlinear wave equation ” . In Math.Systems Theory , 30 – 45 . Berlin : Springer‐ Verlag .
  • Hale , J.K. 1969 . “ Ordinary Differentia1 Equations ” . New York : Wiley‐interscience .
  • Lagnese , J. 1990 . The reachability problem for thermoelastic plates . Arch. Rational Mech. Anal. , 112 : 223 – 267 .
  • Lasiecka , I. and Triggiani , R. 1991 . Exact controllability of semilinear abstract systems with application to wave and plates boundary control problems . Appl. Math. Optim. , 23 : 109 – 154 .
  • Lee , E.B. , Markus , L. and Lions , J.L. 1967 . “ Contrölabilité Exacte Perturbations et Stabilisation de Systhémes Distribués ” . In Tome 1, Contrölabilité Exacte , New York : John Wiley & Sons, Inc. .
  • Lions , J.L. and Magenes , E. 1972 . “ Non-homogeneous boundary value problems and applications ” . Vol. 1-2 , New York : Springer‐Verlag .
  • !W.J. Liu and G.H. Williams, Exact controllability for problems of transmission for the plate equation with lower‐order terms, Quart. Appl. Math., to appear.!
  • Markus , L. 1965 . Controllability for nonlinear processes . SIAM J. Control , 3 : 78 – 90 .
  • Pazy , A. 1983 . “ Semigroup of Linear Operators and Applications to Partial Differential Equations ” . New York : Springer-Verlag .
  • Da Prato , G. 1991 . “ Some results on controllability for semilinear equations, in Nonlinear Analysis ” . In Quaderni , Edited by: Ambrosetti , A. and Marino , A. 161 – 172 . Pisa : Scuola Normale Superiore .
  • Zuazua , E. 1990 . Exact controllability for the semilinear wave equation . J. Math. Pure Appl. , 69 : 1 – 31 .
  • Zuazua , E. 1991 . “ Exact boundary controllability for the semilinear wave equation, in Nonlinear Partial Differential Equations and their Applications ” . In Collège de France Seminar , Edited by: Fattorini , H.O. Vol. 10 , 357 – 391 . Paris, Harlow : Longman Science and Technology .

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.