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compressible reynolds lubrication equation

ESAIM: Control, Optimisation and Calculus of Variations (1)

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On the optimal control of coefficients in elliptic problems. Application to the optimization of the head slider
Ionel Ciuperca, Mohamed El Alaoui Talibi, Mohammed Jai
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 11 / Issue 1 / January 2005

Published online by Cambridge University Press:

15 December 2004, pp. 102-121

Print publication:

January 2005
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We consider an optimal control problem for a class of non-linearelliptic equations. A result of existence and uniqueness of the state equation is proven under weaker hypotheses than in theliterature. We also prove the existence of an optimalcontrol. Applications to some lubrication problems and numericalresults are given.