The Hartree–Fock equations in modulation spaces

DOI10.1080/03605302.2020.1758721zbMath1448.35420arXiv1908.05862OpenAlexW3021028305MaRDI QIDQ5124551

Kasso A. Okoudjou, Divyang G. Bhimani, Manoussos G. Grillakis

Publication date: 29 September 2020

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.05862

zbMATH Keywords

harmonic potentialmodulation spaceslocal and global well-posednessreduced Hartree-Fock and Hartree-Fock equations

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items

Norm inflation with infinite loss of regularity at general initial data for nonlinear wave equations in Wiener amalgam and Fourier amalgam spaces, Strong ill-posedness for fractional Hartree and cubic NLS equations, The blow-up solutions for fractional heat equations on torus and Euclidean space, Symplectic analysis of time-frequency spaces, An approach to elliptic equations with nonlinear gradient terms via a modulation framework, The Hartree and Hartree-Fock equations in Lebesgue \(L^p\) and Fourier-Lebesgue \(\widehat{L}^p\) spaces, Norm inflation for nonlinear Schrödinger equations in Fourier-Lebesgue and modulation spaces of negative regularity, Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness

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