Quenching phenomenon of singular parabolic problems with L1 initial data
Quenching phenomenon of singular parabolic problems with L1 initial data
复制标题
L1初始数据奇异抛物线问题的淬灭现象
DOI：
10.1016/s0764-4442(00)80006-3
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
P. Sauvy
中科院分区：
文献类型：
--
作者：
A. N. Dao;J. I. Díaz;P. Sauvy
我们推广了一些先前的存在性结果淬火型抛物方程中的未知数的负功率的情况下，仅仅是可积的初始数据。我们证明了L1 Ω是获得关于初始数据的某个范数的连续依赖性的合适框架，从而回答了一些作者在以前的文献中提出的问题.我们还显示了这样的L1-初始数据的完全淬火现象。
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.