一类半线性伪抛物方程爆破时间的上下界估计OA

In this paper,the blow-up phenomena of a class of semi-linear pseudo-parabolic equations are studied,the estimation of upper and lower bounds of blow-up time under different initial conditions are given.To be specific,the lower bound of blow-up time under low initial energy is obtained by the means of using differential inequality technique,and the lower bound of blow-up time under high initial energy is obtained similarly.Then,the upper bound of blow-up time under any initial energy is obtained by the means of using convex method.