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Exact controllability for problems of transmission of the plate equation with lower-order terms

Journal Article


Abstract


  • We consider the exact controllability for the problem of transmission of the plate equation with lower-order terms. Using Lions' Hilbert Uniqueness Method (HUM for short), we show that the system is exactly controllable in L2 (Ω)×H-2 (Ω). We also obtain some uniqueness theorems for the problem of transmission of the plate equation and for the operator a(x)Δ2+q.

Publication Date


  • 2000

Citation


  • Liu, W., & Williams, G. H. (2000). Exact controllability for problems of transmission of the plate equation with lower-order terms. Quarterly of Applied Mathematics, 58(1), 37-68. doi:10.1090/qam/1738557

Scopus Eid


  • 2-s2.0-0033888455

Web Of Science Accession Number


Start Page


  • 37

End Page


  • 68

Volume


  • 58

Issue


  • 1

Abstract


  • We consider the exact controllability for the problem of transmission of the plate equation with lower-order terms. Using Lions' Hilbert Uniqueness Method (HUM for short), we show that the system is exactly controllable in L2 (Ω)×H-2 (Ω). We also obtain some uniqueness theorems for the problem of transmission of the plate equation and for the operator a(x)Δ2+q.

Publication Date


  • 2000

Citation


  • Liu, W., & Williams, G. H. (2000). Exact controllability for problems of transmission of the plate equation with lower-order terms. Quarterly of Applied Mathematics, 58(1), 37-68. doi:10.1090/qam/1738557

Scopus Eid


  • 2-s2.0-0033888455

Web Of Science Accession Number


Start Page


  • 37

End Page


  • 68

Volume


  • 58

Issue


  • 1