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arXiv · 1908.05862

The Hartree-Fock equations in modulation spaces

Divyang G. Bhimani·Manoussos Grillakis·Kasso A. Okoudjou
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Abstract

We establish both a local and a global well-posedness theories for the nonlinear Hartree-Fock equations and its reduced analog in the setting of the modulation spaces on $\mathbb R^d$. In addition, we prove similar results when a harmonic potential is added to the equations. In the process, we prove the boundedeness of certain multilinear operators on products of the modulation spaces which may be of independent interest.

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Divyang G. Bhimani, Manoussos Grillakis, Kasso A. Okoudjou. 2019-08-16. The Hartree-Fock equations in modulation spaces. https://arxiv.org/abs/1908.05862

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