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一类带记忆边界条件的抛物型方程的爆破问题 被引量：4

Blow-up for a parabolic equation with memory boundary condition
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摘要 本文讨论了一类带记忆边界条件的半线性抛物型方程的爆破问题.利用上下解方法,结合积分估计本文给出了方程的解在有限时刻爆破或整体存在的充分条件,并证明了某些条件下解的爆破只能在边界上发生. We study the blow-up for a semilinear parabolic equation with a general memory boundary condition.Using the the super-sub solution method and some integral estimate technique the sufficient conditions for finite time blow-up or global existence are obtained.And under certain conditions blow-up occurs only on the boundary.
作者 陈继芹 王玉兰 宋小军
机构地区 西华大学数学与计算机学院 西华师范大学数学与信息学院
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2014年第2期229-235,共7页 Journal of Sichuan University(Natural Science Edition)
基金 四川省教育厅重点科研基金(12ZA288) 西华大学重点科研基金(Z0912611)
关键词 抛物型方程 记忆边界条件 有限时刻爆破 整体存在 Parabolic equation Memory boundary condition Finite time blow-up Global existence
分类号 O175.2 [理学—基础数学]
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参考文献13

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二级参考文献43

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共引文献12

同被引文献35

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引证文献4

二级引证文献6

四川大学学报（自然科学版）
2014年 第2期

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