| 具记忆项的多重非线性抛物方程解的爆破 |
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| 引用本文： | 庞进丽.具记忆项的多重非线性抛物方程解的爆破[J].河南师范大学学报(自然科学版),2014(6):16-20. |
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| 作者姓名： | 庞进丽 |
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| 作者单位： | 河南师范大学数学与信息科学学院 |
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| 基金项目： | 河南省科技厅软科学计划资助项目(132400410391) |
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| 摘 要： | 研究一类具记忆项和多重非线性项的抛物方程初边值问题解的爆破问题.利用位势井理论和微分不等式对记忆项和非线性项加适当条件,在要求初始值为正时得到解爆破的充分条件.
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| 关 键 词： | 抛物方程 爆破 记忆项 多重非线性 正初始能量 |
Blow up of Solution for a Parabolic Equation with Memory and Multiple Nonlinearities |
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| PANG Jinli.Blow up of Solution for a Parabolic Equation with Memory and Multiple Nonlinearities[J].Journal of Henan Normal University(Natural Science),2014(6):16-20. |
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| Authors: | PANG Jinli |
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| Institution: | PANG Jinli;College of Mathematics and Information Science,Henan Normal University; |
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| Abstract: | This paper examines the blow-up solutions for the initial boundary values of a class of parabolic functions with memory terms and multiple nonlinear terms.By using the theory of potential wells and differential inequations with appropriate conditions on memory terms as well as nonlinear terms,the sufficient condition of blow-up solution can be obtained when the required initial value is positive. |
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| Keywords: | parabolic equation blow-up memory term multiple nonlinearities positive initial energy |
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