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Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion.
J. Differ. Equations 284, 83-101 (2021)
We establish the existence in the sense of sequences of solutions for certain integro-differential type equations in two dimensions involving the normal diffusion in one direction and the anomalous diffusion in the other direction in H2(R2) via the fixed point technique. The elliptic equation contains a second order differential operator without the Fredholm property. It is proved that, under the reasonable technical conditions, the convergence in L1(R2) of the integral kernels implies the existence and convergence in H2(R2) of the solutions.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Integro-differential Equations ; Mixed Diffusion ; Non Fredholm Operators ; Solvability Conditions
ISSN (print) / ISBN
0022-0396
e-ISSN
1090-2732
Quellenangaben
Volume: 284,
Pages: 83-101
Publisher
Elsevier
Publishing Place
525 B St, Ste 1900, San Diego, Ca 92101-4495 Usa
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)