23-50 Vitali Vougalter

On the solvability of some systems of integro-differential equations with the double scale anomalous diffusion in higher dimensions (204K, pdf) Aug 30, 23

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Abstract. In the article we establish the existence of solutions of a system of integro-differential equations in the case of the double scale anomalous diffusion. Each equation of the system contains the sum of the two negative Laplace operators raised to two distinct fractional powers in R^d, d=4,5. The proof of the existence of solutions relies on a fixed point technique. We use the solvability conditions for the non-Fredholm elliptic operators in unbounded domains.

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