四川大学学报(自然科学版)
四川大學學報(自然科學版)
사천대학학보(자연과학판)
JOURNAL OF SICHUAN UNIVERSITY(NATURAL SCIENCE EDITION)
2012年
4期
765-770
,共6页
非线性边界条件%爆破%热方程
非線性邊界條件%爆破%熱方程
비선성변계조건%폭파%열방정
nonlinear boundary conditions%blow-up%heat equation
作者研究了一类具有非齐次Neumann边界条件的半线性热方程解的爆破现象.通过构造一阶微分不等式,作者得到了爆破时间的上界.另外,作者还得到了方程解爆破的充分条件.
作者研究瞭一類具有非齊次Neumann邊界條件的半線性熱方程解的爆破現象.通過構造一階微分不等式,作者得到瞭爆破時間的上界.另外,作者還得到瞭方程解爆破的充分條件.
작자연구료일류구유비제차Neumann변계조건적반선성열방정해적폭파현상.통과구조일계미분불등식,작자득도료폭파시간적상계.령외,작자환득도료방정해폭파적충분조건.
By means of a first-order differential inequality technique,a lower bound on blow-up time for solutions to the semilinear heat equation with inhomogeneous Neumann boundary conditions is obtained when blow-up does occur.In addition,sufficient conditions are determined which imply that blow-up of the solution does occur or does not occur.