- 21-12 Vitali Vougalter
- On the solvability of some systems of integro-differential equations with
anomalous diffusion in higher dimensions
(181K, pdf)
Mar 4, 21
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Abstract. The article deals with the studies of the existence of solutions of a system
of integro-differential equations in the case of the anomalousdiffusion with
the negative Laplace operator in a fractional power in R^d, d=4,5. 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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