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

Result type
journal article in Web of Science database
Description
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.
Keywords
Diffusion problem
Kirchhoff function
Magnetic fractional Laplacian
Nehari functional
Potential function