四川师范大学学报（自然科学版）2013，Vol.36Issue(4)：583-589,7.DOI:10.3969/j.issn.1001-8395.2013.04.020
一类具有非线性边界条件的非线性抛物方程解的爆破现象
Blow-up Phenomena for Some Nonlinear Parabolic Problems under Nonlinear Boundary Conditions
摘要
Abstract
In this paper,we consider nonlinear parabolic problems under nonlinear boundary conditions.We establish respectively the conditions on nonlinearities to guarantee that u(x,t) exists globally or blows-up at some finite time.If blow-up occurs,a upper bound for the blow-up time is derived,under some more restrictive conditions,the lower bounds for the blow-up time are also derived.关键词
非线性边界条件/爆破/解的爆破时间Key words
nonlinear boundary conditions/ blow-up/ blow-up time分类
数理科学引用本文复制引用
陶维安,陈波涛..一类具有非线性边界条件的非线性抛物方程解的爆破现象[J].四川师范大学学报（自然科学版）,2013,36(4):583-589,7.基金项目
重庆教委科学技术项目(KJ1213022)资助项目 （KJ1213022）
This work was supported by the Educational Science Foundation of Chongqing China(KJ121302) （KJ121302）
