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Efendiyev, M.A. ; Vougalter, V.*

Solvability of some integro-differential equations with transport and concentrated sources.

J. Dyn. Differ. Equ., DOI: 10.1007/s10884-022-10212-8 (2022)
DOI
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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter Dirac Delta Function ; Integro-differential Equations ; Non-fredholm Operators ; Sobolev Spaces
ISSN (print) / ISBN 1040-7294
e-ISSN 1572-9222
Zeitschrift Journal of Dynamics and Differential Equations
Verlag Springer
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Computational Biology (ICB)