An Obstacle Control Problem with a Source Term

@inproceedings{Adams2000AnOC,
  title={An Obstacle Control Problem with a Source Term},
  author={David R Adams},
  year={2000}
}
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 pro le while the H norm of the obstacle is not too large. The addition of the source term strongly a ects the needed compactness result for the existence of a minimizer. 

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References

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Showing 1-6 of 6 references

Optimal Control of the Obstacle for an Elliptic Variational Inequality

  • D. R. Adams, S. Lenhart, J. Yong
  • Appl. Math. Optim. 38
  • 1998
Highly Influential
6 Excerpts

Variational Convergence of Functions and Operators

  • H. Attouch
  • Appl. Math Series, Pitman Advanced Publishing…
  • 1984
Highly Influential
4 Excerpts

Function Spaces and Potential Theory, Grundlehren

  • D. R. Adams, L. I. Hedberg
  • 1996
1 Excerpt

Obstacle Problems in Mathematical Physics

  • J. Rodrigues
  • North Holland, 134
  • 1987
3 Excerpts

Inequations Variationnelles Avec Obstacle et Espaces Functionnels en Theorie Duality Potential

  • H. Attouch, C. Picard
  • Appl. Anal. 12
  • 1981
1 Excerpt

Introduction to Variational Inequalities and their Applications

  • D. Kinderlehrer, G. Stampacchia
  • Academic Press
  • 1980
3 Excerpts

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