Enviar artigo por via de e-mail Solvability of Some Integro-Differential Equations with Anomalous Diffusion in Two Dimensions
- Autores: Vougalter V.1, Volpert V.2,3
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Afiliações:
- University of Toronto
- Institute Camille Jordan, UMR 5208 CNRSU, University Lyon 1
- Peoples’ Friendship University of Russia (RUDN University)
- Edição: Volume 235, Nº 3 (2018)
- Páginas: 243-255
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242102
- DOI: https://doi.org/10.1007/s10958-018-4071-y
- ID: 242102
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Resumo
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.
Sobre autores
V. Vougalter
University of Toronto
Autor responsável pela correspondência
Email: vitali@math.toronto.edu
Canadá, 27 King’s College Circle, Toronto, Ontario, M5S 1A1
V. Volpert
Institute Camille Jordan, UMR 5208 CNRSU, University Lyon 1; Peoples’ Friendship University of Russia (RUDN University)
Email: vitali@math.toronto.edu
França, Villeurbanne, 69622; 6, Miklukho-Maklaya St, Moscow, 117198
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