Electron. J. Diff. Eqns., Vol. 2001(2001), No. 27, pp. 1-15.

Bilinear spatial control of the velocity term in a Kirchhoff plate equation

Mary Elizabeth Bradley & Suzanne Lenhart

We consider a bilinear optimal control problem with the state equation being a Kirchhoff plate equation. The control is a function of the spatial variables and acts as a multiplier of the velocity term. The unique optimal control, driving the state solution close to a desired evolution function, is characterized in terms of the solution of the optimality system.

Submitted July 26, 2000. Published May 1, 2001.
Math Subject Classifications: 49K20, 35F10.
Key Words: Kirchhoff plate, optimal control, bilinear control.

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Mary Elizabeth Bradley
Department of Mathematics, University of Louisville
Louisville, KY 40292 USA
e-mail: bradley@louisville.edu
Suzanne Lenhart
Department of Mathematics
University of Tennessee
Knoxville, TN 37996-1300 USA
e-mail: lenhart@math.utk.edu

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