Optimal Control of the Stationary Quantum Drift-Diffusion Model
Unterreiter, A. ; Volkwein, S.
Commun. Math. Sci., Tome 5 (2007) no. 1, p. 85-111 / Harvested from Project Euclid
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In this work an optimal control problem for a stationary quantum drift diffusion (QDD) model is analyzed. This QDD model contains four space-dependent observables: The non-negative particle density of electrons, the electrostatic potential, the quantum quasi-Fermi potential and the current density. The goal is to optimize the shape of quantum barriers in a quantum diode. Existence of optimal solutions is proved. Moreover, first-order necessary optimality conditions are derived.
Publié le : 2007-03-14
Classification:  Optimal control,  quantum drift diffusion model,  optimality conditions,  35J55,  49J20,  49K20 
@article{1175797623,
     author = {Unterreiter, A. and Volkwein, S.},
     title = {Optimal Control of the Stationary Quantum Drift-Diffusion Model},
     journal = {Commun. Math. Sci.},
     volume = {5},
     number = {1},
     year = {2007},
     pages = { 85-111},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1175797623}
}

Unterreiter, A.; Volkwein, S. Optimal Control of the Stationary Quantum Drift-Diffusion Model. Commun. Math. Sci., Tome 5 (2007) no. 1, pp.  85-111. http://gdmltest.u-ga.fr/item/1175797623/