拟线性拋物方程(组)解的Blow-up

THE BLOWING-UP OF SOLUTIONS FOR QUASI-LINEAR PARABOLIC EQUATIONS

本文通过构造与解有关的三个不同的适当积分,用凸性方法,给出了如下初边值问题解blow-up的三组不同的充分条件,这里,a(s)≥a_0>0,k(s)≥k_0>0,其它有关记号与[3]相同,此外,我们还讨论了相应的具有非线性边界条件的拟线性抛物方程的混合问题的Blow-up问题.

By convexity methods, the conditions under which the solutions to the mixed problems for quasi-linear parabolic equations blow up are discussed.