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An Obstacle Control Problem with a Source Term

Journal Article · · Applied Mathematics and Optimization
 [1]
  1. Department of Mathematics, University of Tennessee, Knoxville, TN 37996-1300 (United States)
An optimal control problem for an elliptic variational inequality with a source term is considered. The obstacle is the control, and the goal is to keep the solution of the variational inequality close to the desired profile while the H{sup 1} norm of the obstacle is not too large. The addition of the source term strongly affects the needed compactness result for the existence of a minimizer.
OSTI ID:
21067477
Journal Information:
Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 1 Vol. 47; ISSN 0095-4616
Country of Publication:
United States
Language:
English

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