Quenching for a Nonlinear Degenerate Parabolic Equation with Time Delay
带时滞的退化非线性抛物方程的熄灭

This paper deals with the initial boundary value problem of a nonlinear degenerate parabolic equation with time delay. The method of regularization and the technique of upper and lower solutions are employed to show the local existence and the continuation of the positive classical solution of the above problem. The global existence and finite time quenching are discussed, and the critical length is established. The location of the quenching points and the estimates of the quenching rate for the special case of $f(u)$ are obtained.