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Efendiyev, M.A. ; Vougalter, V.*

Solvability in the sense of sequences for some linear and nonlinear Fredholm operators with the logarithmic Laplacian.

Complex Variables, DOI: 10.1080/17476933.2023.2293796 (2024)
DOI
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
We study the solvability of certain linear and nonlinear nonhomogeneous equations in one dimension involving the logarithmic Laplacian and the transport term. In the linear case we show that the convergence in (Formula presented.) of their right sides yields the existence and the convergence in (Formula presented.) of the solutions. We generalize the results obtained in the earlier article of Efendiev and Vougalter [Solvability in the sense of sequences for some non-Fredholm operators with the logarithmic Laplacian. Monatsh Math. 2023] in the non-Fredholm case without the drift. In the nonlinear part of the work we demonstrate that, under the reasonable technical assumptions, the convergence in (Formula presented.) of the integral kernels implies the existence and the convergence in (Formula presented.) of the solutions.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter Fredholm Operators ; Integral Kernel ; Logarithmic Laplacian ; Solvability Conditions; Properness Properties; Elliptic-operators; Traveling-waves; Holder Theory; Dirichlet; Equations; Systems
ISSN (print) / ISBN 0278-1077
e-ISSN 1563-5066
Zeitschrift Complex Variables and Elliptic Equations
Verlag Taylor & Francis
Verlagsort 2-4 Park Square, Milton Park, Abingdon Or14 4rn, Oxon, England
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Computational Biology (ICB)
Förderungen NSERC