一类抛物型方程解的全局存在性

Global existence of solution to a class of parabolic equation

在总结前人研究抛物型方程解的全局存在性的基础上,证明了当α+1<β且初值属于某一类Sobelev空间时,问题全局解存在,同时使用正则化方法,还获得了解的L∞估计。

On the basis of previous research of global existence of solution to parabolic equation,it is proved that the global solution exists when a ＋ 1 〈 β and the initial value belongs to a class of Sobelev space. Meanwhile,by means of a regular method,the solution＇s L^∞ estimation is proposed.