The quenching behavior of a nonlinear parabolic equation with nonlinear boundary outflux
The quenching behavior of a nonlinear parabolic equation with nonlinear boundary outflux
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DOI：
10.1016/j.amc.2006.06.061
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发表时间：
2007-01
期刊：
影响因子：
--
通讯作者：
Yuanhong Zhi;Chunlai Mu
中科院分区：
文献类型：
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作者：
Yuanhong Zhi;Chunlai Mu
本文研究了一维空间中一类非线性抛物型方程的猝灭行为，其中非线性既存在于源项中，又存在于Neumann边界条件中。首先证明了当给定的初值单调时，解在有限时间内只在左边界熄灭。给出了溶液在淬灭时刻附近淬灭速率的估计。
In this paper we are concerned with the quenching behavior of a nonlinear parabolic problem in one-dimensional space, of which the nonlinearity appears both in source term and in Neumann boundary condition. First we proved that the solution quenches only on the left boundary in finite time if the given initial datum is monotone. Then we give the estimate for the quenching rate of the solution near the quenching time.