| Issue |
ESAIM: COCV
Volume 21, Number 1, January-March 2015
|
|
|---|---|---|
| Page(s) | 271 - 300 | |
| DOI | https://doi.org/10.1051/cocv/2014024 | |
| Published online | 09 December 2014 | |
Second-order sufficient optimality conditions for optimal control of static elastoplasticity with hardening
TU Dortmund, Faculty of Mathematics, Vogelpothsweg 87, 44227 Dortmund,
Germany.
tbetz@math.tu-dortmund.de; cmeyer@math.tu-dortmund.de
Received:
22
March
2013
Revised:
25
April
2014
The paper is concerned with the optimal control of static elastoplasticity with linear kinematic hardening. This leads to an optimal control problem governed by an elliptic variational inequality (VI) of first kind in mixed form. Based on Lp-regularity results for the state equation, it is shown that the control-to-state operator is Bouligand differentiable. This enables to establish second-order sufficient optimality conditions by means of a Taylor expansion of a particularly chosen Lagrange function.
Mathematics Subject Classification: 49K20 / 74C05 / 74P10 / 35R45
Key words: Second-order sufficient conditions / optimal control of variational inequalities / bouligand differentiability
© EDP Sciences, SMAI 2014
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