拟线性抛物型方程混合问题解的爆破现象

Blow-up of Solution for Mixed Problem of Quasi-Linear Parabolic Equation

讨论了一类拟线性抛物型方程的具有第三类非线性边界条件的初边值问题.在已知函数满足某些假设条件时,证明了其解在有限时间内爆破.

It is discussed that the initial-boundary value problem under the third nonlinear boundary condition for a kind of quasi-linear parabolic equations. And the blowing up of the solution is obtained in the definite time under some assumed conditions of known functions.