一类带非线性源的拟线性抛物方程解的熄灭问题

Extinction for a Quasi-Linear Parabolic Equation With Nonlinear Source

研究了形如ut=Δpu+λ|u|q-2u的拟线性抛物方程在RN(N≥2)中有界空间上的解的熄灭问题,利用上下解方法得到两类在有限时间内解熄灭的结果.

In this paper, we deal with the extinction of solution of the initial boundary value problem of quasilinear para- bolic equation ut=△pu＋λ｜u｜q-2u in a bounded domain of RN with N≥2. Using upper and lower solution method, we get two results of the extinction of the solution.