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

2024/11/28 by Vitali Vougalter, Vitaly Volpert, Vougalter, Vitali +1
Mathematics · #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Differential Equations and Numerical Methods

paper · pdf · doi:10.48550/arxiv.2411.19383

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 R³. 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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