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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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Publication type Article: Journal article
Document type Scientific Article
Keywords Fredholm Operators ; Integral Kernel ; Logarithmic Laplacian ; Solvability Conditions; Properness Properties; Elliptic-operators; Traveling-waves; Holder Theory; Dirichlet; Equations; Systems
Language english
Publication Year 2024
HGF-reported in Year 2024
ISSN (print) / ISBN 0278-1077
e-ISSN 1563-5066
Journal Complex Variables and Elliptic Equations
Quellenangaben Volume: 33, Issue: 1, Pages: 1-12 Article Number: , Supplement: ,
Publisher Taylor & Francis
Publishing Place 2-4 Park Square, Milton Park, Abingdon Or14 4rn, Oxon, England
Reviewing status Peer reviewed
Institute(s) Institute of Computational Biology (ICB)
POF-Topic(s) 30205 - Bioengineering and Digital Health
Research field(s) Enabling and Novel Technologies
PSP Element(s) G-503800-001
Grants NSERC
DOI 10.1080/17476933.2023.2293796
WOS ID 001171089800001
Scopus ID 105004360632
Scopus ID 85184167185
Erfassungsdatum 2024-04-23
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