Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms

Yunde Shen, Zhong Bo Fang
2018 Boundary Value Problems  
We investigate the blow-up phenomena for a porous medium equation with weighted nonlocal source and inner absorption terms subject to null Dirichlet boundary condition. Based on a modified differential inequality technique, we establish some sufficient conditions to guarantee the existence of non-global solutions to the model and also derive the upper bounds for the blow-up time. Moreover, the lower bounds for the blow-up time are obtained under some appropriate measure in the whole-dimensional
more » ... e whole-dimensional space (N ≥ 1).
doi:10.1186/s13661-018-1038-3 fatcat:i62ttgjq5bfqdibgnvzvwhd36m