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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 33, 1-12 (2024)
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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
Schlagwörter Fredholm Operators ; Integral Kernel ; Logarithmic Laplacian ; Solvability Conditions; Properness Properties; Elliptic-operators; Traveling-waves; Holder Theory; Dirichlet; Equations; Systems
Sprache englisch
Veröffentlichungsjahr 2024
HGF-Berichtsjahr 2024
ISSN (print) / ISBN 0278-1077
e-ISSN 1563-5066
Zeitschrift Complex Variables and Elliptic Equations
Quellenangaben Band: 33, Heft: 1, Seiten: 1-12 Artikelnummer: , Supplement: ,
Verlag Taylor & Francis
Verlagsort 2-4 Park Square, Milton Park, Abingdon Or14 4rn, Oxon, England
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Computational Biology (ICB)
POF Topic(s) 30205 - Bioengineering and Digital Health
Forschungsfeld(er) Enabling and Novel Technologies
PSP-Element(e) G-503800-001
Förderungen NSERC
DOI 10.1080/17476933.2023.2293796
WOS ID 001171089800001
Scopus ID 105004360632
Scopus ID 85184167185
Erfassungsdatum 2024-04-23
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