%0 Journal Article %A Dao, N. A. %A Díaz Díaz, Jesús Ildefonso %T A gradient estimate to a degenerate parabolic equation with a singular absorption term: The global quenching phenomena %D 2016 %@ 0022-247X %U https://hdl.handle.net/20.500.14352/24481 %X We prove global existence of nonnegative solutions to the one dimensional degenerate parabolic problems containing a singular term. We also show the global quenching phenomena for L1 initial datums. Moreover, the free boundary problem is considered in this paper. %~