R^N中有界域上的一类抛物方程非负径向解的爆破问题  

Blow-up of nonnegative radial solutions for a family of parabolic equations in bounded domain in RN

作　　者：易青[1] 邹新鹏[1] 

机构地区：[1]南昌航空大学,江西南昌330063

出　　处：《南昌航空大学学报（自然科学版）》2008年第2期31-34,共4页Journal of Nanchang Hangkong University(Natural Sciences)

摘　　要：本文考虑了一类带有非线性梯度项的抛物方程非负径向解的爆破问题,证明了对于大初值,问题的非负径向解或者无界且不发生爆破,或者爆破发生。In this article, we consider the blow - up of nonnegative radial solutions for a family of parabolic equations with gradient nonlinearities and prove that the nonnegative radial solutions of the problem will either be unbounded and not blow up or blow up for large values of initial data.

关 键 词：抛物方程 径向解 爆破 

分 类 号：O13[理学—数学]