ISSN:
1432-0606
Keywords:
Key words. Obstacle problem, Green potentials, Approximation. AMS Classification. 93C20, 31B05.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. An optimal control problem for an elliptic obstacle variational inequality is considered. The obstacle is taken to be the control and the solution to the obstacle problem is taken to be the state. The goal is to find the optimal obstacle from H 1 0 (Ω) so that the state is close to the desired profile while the H 1 (Ω) norm of the obstacle is not too large. Existence, uniqueness, and regularity as well as some characterizations of the optimal pairs are established.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002459900085
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