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


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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.

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V. Vougalter

University of Toronto

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Email: vitali@math.toronto.edu
加拿大, 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
法国, Villeurbanne, 69622; 6, Miklukho-Maklaya St, Moscow, 117198

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