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Open Access Green as soon as Postprint is submitted to ZB.
On the solvability of some systems of integro-differential equations with transport and concentrated sources.
Complex Variables, DOI: 10.1080/17476933.2023.2229745 (2023)
The article is devoted to the existence of solutions of a system of integro-differential equations involving the drift terms in the case of the normal diffusion and the influx/efflux terms proportional to the Dirac delta function. The proof of the existence of solutions is based on a fixed point technique. We use the solvability conditions for the non- Fredholm elliptic operators in unbounded domains. We emphasize that the study of the systems is more difficult than of the scalar case and requires to overcome more cumbersome technicalities.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
35j05 ; 35p30 ; 47f05 ; Dirac Delta Function ; Integro-differential Systems ; Non-fredholm Operators ; Sobolev Spaces; Nonlinear Schrodinger-equation; Properness Properties; Elliptic-operators; Fredholm; Dirichlet; Existence
ISSN (print) / ISBN
0278-1077
e-ISSN
1563-5066
Publisher
Taylor & Francis
Publishing Place
2-4 Park Square, Milton Park, Abingdon Or14 4rn, Oxon, England
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)
Grants
NSERC