RT Journal Article T1 Quenching phenomenon of singular parabolic problems with L1 initial data A1 Dao, A.N. A1 Díaz Díaz, Jesús Ildefonso A1 Sauvy, P. AB We 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. PB Texas State University SN 10726691 YR 2016 FD 2016 LK https://hdl.handle.net/20.500.14352/24631 UL https://hdl.handle.net/20.500.14352/24631 LA eng NO Unión Europea. FP7 NO Ministerio de Economía y Competitividad (MINECO) NO Universidad Complutense de Madrid DS Docta Complutense RD 4 may 2024