神经传播型拟线性方程柯西问题的解的Blow-up

Blow-up of Solutions of Initial Value Problem for Nerve Conduction Type Equation

对犤1犦中研究的神经传播型方程utt-Δut=f(u)ut+g(u)的柯西问题解的Blow-up的结果推广到更为广泛的拟线性发展方程utt-Δut=F(x,t,u,ut)(1)的柯西问题解的Blow-up现象。文犤1犦的结果为本文的特殊情况。

In this paer,we discuss the following Cauchy problems u tt -Δu t =F(x,t,u,u t )x∈R n ,t∈0,T)u(x,0)=u 0 (x),u t (x,0)=u 1 (x)x∈R n We have generalized and supplemented the results of 1.