一类带非线性奇异边界条件的非线性抛物方程的淬灭问题

Quenching for a nonlinear parabolic equation with nonlinear singular boundary condition

设带非线性奇异边界条件的非线性抛物方程(Ψ(u))t=uxx+(1-u)-p的初值是单调的,则由极大值原理得到了解在有限时间内仅在左边界发生淬灭,以及淬灭速率的估计.

Assume following nonlinear parabolic equation （ψ（u））t=Mss＋（1-u）^-p with nonlinear singulax boundary has a monotonous initial value, by applying Maximum Principle, quenching which only took place on the left boundary in finite time was proved and some estimations of quenching rate were also derived.