Quenching phenomenon of singular parabolic problems with L^1 initial data

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 $L^1(\Omega)$ is the suitable framework to obtain the continuous dependence with respect to some n...

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Bibliographic Details
Main Authors: Anh Nguyen Dao, Jesus Ildefonso Diaz, Paul Sauvy
Format: Article
Language:English
Published: Texas State University 2016-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/136/abstr.html