Dao, A.N.Díaz Díaz, Jesús IldefonsoSauvy, P.2023-06-182023-06-18201610726691https://hdl.handle.net/20.500.14352/24631We extend some previous existence results for quenching type parabolic problems involving a negative power of the unknown in the equation to the case of merely integrable initial data. We show that L1 Ω is the suitable framework to obtain the continuous dependence with respect to some norm of the initial datum; This way we answer to the question raised by several authors in the previous literature. We also show the complete quenching phenomena for such a L1-initial datum.engjournal articlehttp://ejde.math.txstate.edu/Volumes/2016/136/dao.pdfopen access517.9Free boundaryL1-initial datumQuenching type parabolic equationsEcuaciones diferenciales1202.07 Ecuaciones en Diferencias