Mathematica Eterna
Open Access

Abstract

Critical extinction exponents for a fast diffusive polytropic filtration equation with nonlocal source and inner absorption

Jizhe Cui, Xianghui Xu and Zhong Bo Fang

In this paper, we deal with an initial boundary value problem for a fast diffusive polytropic filtration equation with nonlocal source and inner absorption in bounded domain. By using the super- and sub-solution method, we obtain some critical extinction exponents on whether occurrences the extinction phenomenon of nonnegative weak solutions or not