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Solvability of some integro-differential equations with transport and concentrated sources.
J. Dyn. Differ. Equ., DOI: 10.1007/s10884-022-10212-8 (2022)
The work deals with the existence of solutions of an integro-differential equation in the case of the normal diffusion and the influx/efflux term proportional to the Dirac delta function in the presence of the drift term. The proof of the existence of solutions relies on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains and discuss how the introduction of the transport term influences the regularity of the solutions.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Dirac Delta Function ; Integro-differential Equations ; Non-fredholm Operators ; Sobolev Spaces
ISSN (print) / ISBN
1040-7294
e-ISSN
1572-9222
Publisher
Springer
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)