A quenching phenomenon of a degenerate parabolic equation with nonlinear source and singular boundary condition in one-dimensional space is investigated. We establish the results that quenching will occur in a finite time on the boundary x = 0 or x = 1, respectively. And the blowing up of u_t at the quenching point and quenching rate estimates are discussed.

中文翻译：

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一类具有奇异边界通量的退化抛物方程的淬灭现象

研究了一维非线性条件下具有奇异边界条件的退化抛物方程的淬灭现象。我们建立了以下结果：淬火将在有限的时间分别在边界x = 0或x = 1上发生。和的吹起来ù_吨在淬火点和淬火速率估计进行了讨论。