Optimal control of bilateral obstacle
Bergounioux, Maïtine ; Lenhart, Suzanne,
HAL, hal-00022011 / Harvested from HAL
Text on HAL
We consider an optimal control problem where the state satisfies a bilateral elliptic variational inequality and the control functions are the upper and lower obstacles. We seek a state that is close to a desired profile and the H2 norms of the obstacles are not too large. Existence results are given and an optimality system is derived. A particular case is studied that needs no compactness assumption, via a monotonicity method.
Publié le : 2004-07-05
Classification:  optimal control,  obstacle problem,  variational inequalities,  semilinear elliptic equations,  AMS 49J20, 49M25,  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{hal-00022011,
     author = {Bergounioux, Ma\"\i tine and Lenhart, Suzanne, },
     title = {Optimal control of bilateral obstacle},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00022011}
}

Bergounioux, Maïtine; Lenhart, Suzanne, . Optimal control of bilateral obstacle. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00022011/