18-18 Vitali Vougalter, Vitaly Volpert

Solvability of some integro-differential equations with anomalous diffusion in two dimensions (148K, pdf) Feb 12, 18

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Abstract. The article is devoted to the studies of 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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