By energy estimate approach and the method of upper and lower solutions, we give the conditions on the occurrence of the extinction and nonextinction behaviors of the solutions for a quasilinear parabolic equation with nonlinear source. Moreover, the decay estimates of the solutions are studied.

中文翻译：

---

具有非线性源的拟线性抛物型方程的灭绝现象与衰减估计。

通过能量估计方法和上下解的方法，给出了带有非线性源的拟线性抛物方程解的灭绝和非灭绝行为发生的条件。此外，研究了解的衰减估计。