Solvability of Some Integro-Differential Equations with Anomalous Diffusion in Two Dimensions

We study the existence of solutions of an integro-differential equation in the case of the anomalous diffusion with the negative Laplace operator in a fractional power in two dimensions. The proof of the existence of solutions is based on a fixed point technique. Solvability conditions for non Fredholm elliptic operators in unbounded domains are used. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Authors
Vougalter V.1 , Volpert V. 2, 3
Journal
Journal of Mathematical Sciences (United States)
Publisher
Springer New York LLC
Number of issue
3
Language
English
Pages
243-255
Status
Published
Link
External link
DOI
10.1007/s10958-018-4071-y
Volume
235
Year
2018
Organizations
  • 1 University of Toronto, 27 King’s College Circle, Toronto, ON M5S 1A1, Canada
  • 2 Institute Camille Jordan, UMR 5208 CNRSU, University Lyon 1, Villeurbanne, 69622, France
  • 3 Peoples’ Friendship University of Russia (RUDN University), 6, Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Date of creation
04.02.2019
Date of change
04.02.2019
Short link
https://repository.rudn.ru/en/records/article/record/36210/
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