Отправить статью по E-mail Solvability of Some Integro-Differential Equations with Anomalous Diffusion in Two Dimensions
- Авторы: Vougalter V.1, Volpert V.2,3
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Учреждения:
- University of Toronto
- Institute Camille Jordan, UMR 5208 CNRSU, University Lyon 1
- Peoples’ Friendship University of Russia (RUDN University)
- Выпуск: Том 235, № 3 (2018)
- Страницы: 243-255
- Раздел: 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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Аннотация
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.
Об авторах
V. Vougalter
University of Toronto
Автор, ответственный за переписку.
Email: vitali@math.toronto.edu
Канада, 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
Франция, Villeurbanne, 69622; 6, Miklukho-Maklaya St, Moscow, 117198
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