一类半线性抛物型方程初值问题L^p-解的整体存在性

The Global Existence of L^p-Solution to Initial Value Problem of a Semilinear Parabolic Equation

本文通过算子etΔ的相关性质,定义适当的积分方程,证明了一类半线性抛物型方程初值问题LP-解的整体存在性。

In this paper, the global existence of Lp - solution to a semilinear parabolic equation has been proved by defining a suitable integral equation and the attribute of operatore^t△.