具反应梯度项的多重非线性抛物方程解的渐近行为  

Asymptotic Behavior of Solutions to a Multi-nonlinear Parabolic Equation with a Reactive Gradient Term

作　　者：王巍[1] 郑斯宁[1] 

机构地区：[1]大连理工大学数学科学学院,辽宁大连116024

出　　处：《数学年刊（A辑）》2012年第4期461-468,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11101060;No.11171048)资助的项目

摘　　要：对一类具非线性内吸收、反应梯度项及边界流的半线性抛物方程,研究了更加困难的临界情形下的爆破解的渐近行为,填补了先前工作遗留的缺口.为此,引入了改进的伸缩变换方法.This paper deals with a semilinear parabolic equation with nonlinear inner absorption, reactive gradient term and boundary flux. The authors consider the asymptotic behavior of the blow-up solutions in the more difficult critical situation, in order to fill a gap left by the previous work. For this purpose, some refined rescaling technique is introduced.

关 键 词：爆破速率 内吸收 梯度项 非线性边界流 伸缩变换方法 

分 类 号：O175.26[理学—数学]