一类非线性抛物型方程解的熄灭

非线性抛物型方程解的一个重要性质就是解的熄灭现象。它在实际生活中有很广泛的应用。近年来人们利用能量估计法,上下解的方法对非线性抛物型方程的解的熄灭进行了大量的研究。在这里受文献的启发,采用能量估计的方法,讨论了一类抛物型方程初边值问题解的渐进性态,得到了解在有限时间内解熄灭的条件。在此基础上给出了解的能量估计。

Quenching of the Solution on a Type of Nonlinear Parabolic Equation

The quenching phenomenon of solution is one of the important qualities of nonlinear parabolic partial differential equation. It is applied widely in our life In recent studies on the quenching of a solution for the nonlinear parabolic equation, different approaches like energy estimation are adopted. This paper discusses initial boundary value problem for the parabolic equation, with the energy estimation method as its main approach. The conditions under which the solution is quenched will be given in this paper. Also, the energy estimation for the above equations will be concluded.