Mathematica Eterna
Open Access

Abstract

Extinction behavior of solutions for the polytropic filtration equation with nonlocal source and absorption

Jizhe Cui, Zhong Bo Fang and Su-Cheol Yi

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.