Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator

Jiabin Zuo; Juliana Honda Lopes; Vicentiu D. Rădulescu

doi:10.1016/j.aml.2023.108977

paper

Long-time behavior for the Kirchhoff diffusion problem with magnetic fractional Laplace operator

arXiv:2310.06325 · doi:10.1016/j.aml.2023.108977

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.

6 pages