一类非线性抛物方程组解的爆破性

Blowup of Solutions for a Class of Nonlinear Parabolic Systems

讨论了一类非线性抛物方程组xαut-uxx=f(u,v)xαvt-vxx=g(u,v)的初边值问题,通过引入特征函数,利用其性质,巧妙地构造"爆破因子",给出并证明了多种非线性项组合的解的爆破性质。

A class of nonlinear parabolic systems is discussed. By introducing the eigenfunction and constructing the blowing up factors, we show the blow up properties of the solutions for various nonlinear forms.