Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion
Analysis of PDEs
2024-12-02 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2411.19383,
title = {Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion},
author = {Vitali Vougalter and Vitaly Volpert},
journal= {arXiv preprint arXiv:2411.19383},
year = {2024}
}