Publikation: A Theoretical Investigation of Time-Dependent Kohn--Sham Equations
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2017
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SIAM Journal on Mathematical Analysis. 2017, 49(3), pp. 1681-1704. ISSN 0036-1410. eISSN 1095-7154. Available under: doi: 10.1137/15M1053517
Zusammenfassung
In this work, the existence, uniqueness, and regularity of solutions to the time-dependent Kohn--Sham equations are investigated. The Kohn--Sham equations are a system of coupled nonlinear Schrödinger equations that describe multiparticle quantum systems in the framework of the time-dependent density functional theory. In view of applications to control problems, the presence of a control function and the case of an inhomogeneity are also discussed.
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510 Mathematik
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SPRENGEL, Martin, Gabriele CIARAMELLA, Alfio BORZÌ, 2017. A Theoretical Investigation of Time-Dependent Kohn--Sham Equations. In: SIAM Journal on Mathematical Analysis. 2017, 49(3), pp. 1681-1704. ISSN 0036-1410. eISSN 1095-7154. Available under: doi: 10.1137/15M1053517BibTex
@article{Sprengel2017-01Theor-41225,
year={2017},
doi={10.1137/15M1053517},
title={A Theoretical Investigation of Time-Dependent Kohn--Sham Equations},
number={3},
volume={49},
issn={0036-1410},
journal={SIAM Journal on Mathematical Analysis},
pages={1681--1704},
author={Sprengel, Martin and Ciaramella, Gabriele and Borzì, Alfio},
note={Erratum: https://doi.org/10.1137/19M1285792}
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Erratum: https://doi.org/10.1137/19M1285792
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