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arXiv · 2411.19383

Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion

Vitali Vougalter·Vitaly Volpert
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Abstract

The paper is devoted to the investigation of the solvability of an integro-differential equation in the case of the double scale anomalous diffusion with a sum of two negative Laplacians in different fractional powers in R^3. The proof of the existence of solutions relies on a fixed point technique. Solvability conditions for the elliptic operators without the Fredholm property in unbounded domains are used.

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Vitali Vougalter, Vitaly Volpert. 2024-11-28. Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion. https://arxiv.org/abs/2411.19383

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