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Solvability of some systems of non-fredholm integro-differential equations with mixed diffusion.
J. Dyn. Differ. Equ., DOI: 10.1007/s10884-022-10199-2 (2022)
We prove the existence in the sense of sequences of solutions for some system of integro-differential type equations in two dimensions containing the normal diffusion in one direction and the anomalous diffusion in the other direction in H2(R2, RN) using the fixed point technique. The system of elliptic equations contains second order differential operators without the Fredholm property. It is established that, under the reasonable technical assumptions, the convergence in L1(R2) of the integral kernels yields the existence and convergence in H2(R2, RN) of the solutions. We emphasize that the study of the systems is more difficult than of the scalar case and requires to overcome more cumbersome technicalities.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Solvability Conditions ; Non Fredholm Operators ; Integro-differential Systems ; Mixed Diffusion
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)