Asymptotic solutions to the Hartree equation near a sphere. Asymptotics of self-consistent potentials

DOI10.1007/S10958-023-06731-4OpenAlexW4387877680MaRDI QIDQ6150309

A. V. Pereskokov

Publication date: 6 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-023-06731-4

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

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• Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations
• Equations of the self-consistent field
• Asymptotic solutions of two-dimensional Hartree-type equations localized in the neighborhood of line segments
• Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: asymptotic solutions localized near a circle
• Semiclassical asymptotic approximation of the two-dimensional Hartree operator spectrum near the upper boundaries of spectral clusters
• Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. II. Localization in planar discs
• Asymptotic solutions of Hartree equations concentrated near low-dimensional submanifolds. I. The model with logarithmic singularity

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