一类具非线性源扩散方程的熄灭和非熄灭行为

Extinction and Non-Extinction Behavior of Solutions for a Class of Reaction-Diffusion Equations with a Nonlinear Source

该文研究一类具非线性源的快扩散方程解的熄灭性质,借助积分模估计和上下解方法给出了解在有限时刻熄灭的充分条件,给出了解的衰退估计,并且给出了在某些参数条件下的数值模拟结果.

In this paper, we investigate the extinction and nonextinction behavior of solutions for a class of reaction-diffusion equations. By using the integral model estimates and the method of sub-super solutions, we obtain some sufficient conditions for the solutions vanish in finite time. Furthermore, we also present numerical examples for the sake of illustration.