Critical extinction exponents for a fast diffusion equation with nonlocal source and absorption
Department of Mathematics, Jilin University, Changchun, 130012, P.R. China
Boundary Value Problems 2014, 2014:24 doi:10.1186/1687-2770-2014-24Published: 30 January 2014
In this article, the authors apply the super-solution and sub-solution methods, instead of energy estimate methods, to investigate the critical extinction exponents for a fast diffusion equation with a nonlocal source and an absorption term. They give a classification of the exponents and coefficients for the solutions to vanish in finite time or not, which improve, in some sense, the results by Xu et al. (Bound. Value Probl. 2013:24 2013) and by Han et al. (Arch. Math. 97:353-363, 2011).
MSC: 35K55, 35K57.