Differential and Integral Equations

Mathematical remarks on the optimized effective potential problem

Adel Ben-Haj-Yedder, Eric Cances, and Claude Le Bris

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Abstract

We investigate mathematically a minimization problem issued from computational chemistry, and known as the Optimal Effective Potentiel (OEP) problem. We propose a weak formulation of the problem, that we show to be well-posed in a simple case, and we address various related questions.

Article information

Source
Differential Integral Equations Volume 17, Number 3-4 (2004), 331-368.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060436

Mathematical Reviews number (MathSciNet)
MR2037981

Zentralblatt MATH identifier
1224.35102

Subjects
Primary: 35Q40: PDEs in connection with quantum mechanics
Secondary: 35J50: Variational methods for elliptic systems 35R25: Improperly posed problems 49J20: Optimal control problems involving partial differential equations

Citation

Ben-Haj-Yedder, Adel; Cances, Eric; Le Bris, Claude. Mathematical remarks on the optimized effective potential problem. Differential Integral Equations 17 (2004), no. 3-4, 331--368. https://projecteuclid.org/euclid.die/1356060436.


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