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Optimal Control of the Stationary Quantum Drift-Diffusion Model

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UNTERREITER, Andreas, Stefan VOLKWEIN, 2007. Optimal Control of the Stationary Quantum Drift-Diffusion Model. In: Communications in Mathematical Sciences. 5(1), pp. 85-111. ISSN 1539-6746. eISSN 1945-0796. Available under: doi: 10.4310/CMS.2007.v5.n1.a4

@article{Unterreiter2007Optim-41199, title={Optimal Control of the Stationary Quantum Drift-Diffusion Model}, year={2007}, doi={10.4310/CMS.2007.v5.n1.a4}, number={1}, volume={5}, issn={1539-6746}, journal={Communications in Mathematical Sciences}, pages={85--111}, author={Unterreiter, Andreas and Volkwein, Stefan} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dspace:isPartOfCollection rdf:resource=""/> <dc:contributor>Volkwein, Stefan</dc:contributor> <dcterms:isPartOf rdf:resource=""/> <dcterms:available rdf:datatype="">2018-02-02T07:54:36Z</dcterms:available> <dcterms:title>Optimal Control of the Stationary Quantum Drift-Diffusion Model</dcterms:title> <dc:creator>Unterreiter, Andreas</dc:creator> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:language>eng</dc:language> <dcterms:abstract xml:lang="eng">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.</dcterms:abstract> <dcterms:issued>2007</dcterms:issued> <dc:date rdf:datatype="">2018-02-02T07:54:36Z</dc:date> <bibo:uri rdf:resource=""/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:contributor>Unterreiter, Andreas</dc:contributor> <dc:creator>Volkwein, Stefan</dc:creator> </rdf:Description> </rdf:RDF>

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