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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/136/abstr.html |
| Summary: | 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 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 L^1-initial datum. |
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| ISSN: | 1072-6691 |