非线性双重退缩抛物方程解的耗竭

Extinction of Solutions for the Nonlinear Doubly Degenerate Parabolic Equation

研究非线性双重退缩抛物方程第一初边值问题解的耗竭性 ,应用能量方法 ,对具零Dirichlet边界条件和非负初值的方程 ,给出了解在有限时间内耗竭的充分条件 ,从而推广了Tsutsu

This paper deals with the extinction properties of solutions of the first initial-boundary value problem for the nonlinear doubly degenerate parabolic equation.By using the energy method ,a sufficient condition is given to guarantee that the weak solution for the equation with zero-Dirichlet boundary condition and with nonnegative initial condition will have a finite extinction time,and generalize the results of Tsutsumi M and others.