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Bibliographic Details
Main Authors:	Baumeier, Björn, Çaylak, Onur, Mercuri, Carlo, Peletier, Mark, Prokert, Georg, Scharpach, Wouter
Format:	Preprint
Published:	2020
Subjects:	Analysis of PDEs
Online Access:	https://arxiv.org/abs/2011.10542
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Table of Contents:

We prove existence and uniqueness of solutions to the initial-value problem associated with a class of time-dependent Kohn-Sham equations coupled with Newtonian nuclear dynamics. We consider a pure power exchange term within a generalisation of the Local Density Approximation (LDA), identifying a range of exponents for the existence and uniqueness of $H^2$ solutions to the Kohn-Sham equations.