有界域上任意维数半线性拟抛物方程的整体解

摘要

This paper focused on the initial boundary value problem of semilinear pseudo parabolic equations in any dimensions. After proved that if the nonlinear term satisfies the given condition, increasing conditions, the unique global solution in any arbitrary positive time was obtained.%研究有界域上的任意维数半线性拟抛物方程的初边值问题的整体解.证明了若非线性项满足一定的条件,利用逐次磨光法,此问题存在整体解.