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Solvability of some integro-differential equations with drift and superdiffusion.
J. Dyn. Differ. Equ., DOI: 10.1007/s10884-022-10147-0 (2022)
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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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
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
Publisher
Springer
Publishing Place
One New York Plaza, Suite 4600, New York, Ny, United States
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)