Research Article
Jizhe Cui, Zhong Bo Fang and S
Abstract
We investigate the extinction behavior of non-negative nontrivial weak solutions of the initial-boundary value problem for the fast diffusive polytropic filtration equation with nonlocal nonlinear source and interior absorption. We show that the effect of the absorption can change extinction behavior of solutions in the whole dimensional space, and decay estimates always depend on the choices of initial data, coefficients and domain.