Exact controllability for problems of transmission of the plate equation with lower-order terms
Authors:
Weijiu Liu and Graham H. Williams
Journal:
Quart. Appl. Math. 58 (2000), 37-68
MSC:
Primary 93B05; Secondary 74K20, 74M05
DOI:
https://doi.org/10.1090/qam/1738557
MathSciNet review:
MR1738557
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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 ${L^2}\left ( \Omega \right ) \times {H^{ - 2}}\left ( \Omega \right )$. We also obtain some uniqueness theorems for the problem of transmission of the plate equation and for the operator $a\left ( x \right ){\Delta ^2} + q$.
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