The Hilbert problem in a half-plane for generalized analytic functions with a singular point on the real axis

Autor: P. L. Shabalin, R. R. Faizov

Publikováno v: Учёные записки Казанского университета. Серия Физико-математические науки, Vol 166, Iss 1, Pp 111-122 (2024)

This article analyzes the inhomogeneous Hilbert boundary value problem for an upper half-plane with the finite index and boundary condition on the real axis for one generalized Cauchy–Riemann equation with a singular point on the real axis. A struc

Externí odkaz: https://doaj.org/article/a0470a875fd748bd865f942adbb18091

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The Framework of k-Harmonically Analytic Functions for Three-Dimensional Stokes Flow Problems, Part I

Autor: Zabarankin, Michael

Publikováno v: SIAM Journal on Applied Mathematics, 2008 Jan 01. 69(3), 845-880.

Externí odkaz: https://www.jstor.org/stable/40233648

Creation and annihilation of point-potentials using Moutard-type transform in spectral variable

Autor: Petr Georgievich Grinevich, Roman Novikov

Publikováno v: Journal of Mathematical Physics
Journal of Mathematical Physics, American Institute of Physics (AIP), 2020, 61 (9), 093501(9 pp.). ⟨10.1063/1.5143303⟩

International audience; We continue to develop the method for creation and annihilation of contour singularities in the d-bar-spectral data for the two-dimensional Schrödinger equation at fixed energy. Our method is based on the Moutard-type transfo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54b02fd5f5aa643165da19efb63edb22
https://hal.archives-ouvertes.fr/hal-02422355/document