Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator
Analysis of PDEs
2024-07-23 v1
Abstract
We consider a Kirchhoff-type diffusion problem driven by the magnetic fractional Laplace operator. The main result in this paper establishes that infinite time blow-up cannot occur for the problem. The proof is based on the potential well method, in relationship with energy and Nehari functionals.
Cite
@article{arxiv.2310.06325,
title = {Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator},
author = {Jiabin Zuo and Juliana Honda Lopes and Vicentiu D. Rădulescu},
journal= {arXiv preprint arXiv:2310.06325},
year = {2024}
}
Comments
6 pages