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Efendiyev, M.A. ; Vougalter, V.*

Solvability of some integro-differential equations with drift and superdiffusion.

J. Dyn. Differ. Equ., DOI: 10.1007/s10884-022-10147-0 (2022)
DOI
We establish the existence in the sense of sequences of solutions for some integro-differential type equations containing the drift term and the square root of the one dimensional negative Laplacian, on the whole real line or on a finite interval with periodic boundary conditions in the corresponding H2 spaces. The argument relies on the fixed point technique when the elliptic equations involve first order differential operators with and without Fredholm property. It is proven that, under the reasonable technical assumptions, the convergence in L1 of the integral kernels implies the existence and convergence in H2 of solutions.
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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter Drift Term ; Integro-differential Equations ; Non Fredholm Operators ; Solvability Conditions ; Superdiffusion; Properness Properties; Stationary Solutions; Traveling-waves; Fredholm; Diffusion; Existence; Propagation
ISSN (print) / ISBN 1040-7294
e-ISSN 1572-9222
Zeitschrift Journal of Dynamics and Differential Equations
Verlag Springer
Verlagsort One New York Plaza, Suite 4600, New York, Ny, United States
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Computational Biology (ICB)