Geodesic
Second-order sufficient optimality conditions for optimal control of static elastoplasticity with hardening
Betz, Thomas1 ; Meyer, Christian1
1 TU Dortmund, Faculty of Mathematics, Vogelpothsweg 87, 44227 Dortmund, Germany.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 21 (2015) no. 1, pp. 271-300

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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 L p -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.

Reçu le :
DOI : 10.1051/cocv/2014024
Classification : 49K20, 74C05, 74P10, 35R45
Keywords: Second-order sufficient conditions, optimal control of variational inequalities, bouligand differentiability

Betz, Thomas 1 ; Meyer, Christian 1

1 TU Dortmund, Faculty of Mathematics, Vogelpothsweg 87, 44227 Dortmund, Germany. 
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     title = {Second-order sufficient optimality conditions for optimal control of static elastoplasticity with hardening},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {271--300},
     publisher = {EDP-Sciences},
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     year = {2015},
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Betz, Thomas; Meyer, Christian. Second-order sufficient optimality conditions for optimal control of static elastoplasticity with hardening. ESAIM: Control, Optimisation and Calculus of Variations, Tome 21 (2015) no. 1, pp. 271-300. doi: 10.1051/cocv/2014024

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