| 具非局部源半线性抛物方程变号解爆破时间的下界估计 |
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| 引用本文： | 孙爱慧,陈 鹏,李 岩,包开花.具非局部源半线性抛物方程变号解爆破时间的下界估计[J].吉林大学学报(理学版),2002,57(6):1400-1402. |
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| 作者姓名： | 孙爱慧 陈 鹏 李 岩 包开花 |
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| 作者单位： | 1. 吉林师范大学 数学学院, 吉林 四平 136000； 2. 内蒙古民族大学 数学学院, 内蒙古 通辽 028000
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| 摘 要： | 考虑一类具非局部源半线性抛物方程Neuman边值问题解的爆破性质, 通过构造辅助函数并利用一阶微分不等式, 给出该方程解爆破时间的下界估计.
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| 关 键 词： | 非局部源 半线性 爆破时间 下界 |
| 收稿时间： | 2019-08-29 |
Estimation of Lower Bounds of Blow-up Time for Variable SignSolutions of Semilinear Parabolic Equations with Nonlocal Sources#br# |
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| SUN Aihui,CHEN Peng,LI Yan,BAO Kaihua.Estimation of Lower Bounds of Blow-up Time for Variable SignSolutions of Semilinear Parabolic Equations with Nonlocal Sources#br#[J].Journal of Jilin University: Sci Ed,2002,57(6):1400-1402. |
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| Authors: | SUN Aihui CHEN Peng LI Yan BAO Kaihua |
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| Institution: | 1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China； 2. College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028000,Inner Mongolia Autonomous Region, China
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| Abstract: | We considered the blow\|up properties of solutions of Neuman boundary value problems fora class of semilinear parabolic equations with nonlocal sources. By constructing auxiliary functions and using the first order differential inequality, we gave the estimation of lower bound of blow\|up time for solutions of the equations. |
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| Keywords: | nonlocal source semilinear blow-up time lower bound |
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