| 具反应梯度项的多重非线性抛物方程解的渐近行为 |
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| 引用本文： | 王巍,郑斯宁.具反应梯度项的多重非线性抛物方程解的渐近行为[J].数学年刊A辑(中文版),2012,33(4):461-468. |
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| 作者姓名： | 王巍 郑斯宁 |
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| 作者单位： | 大连理工大学数学科学学院 |
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| 基金项目： | 国家自然科学基金(No.11101060,No.11171048)资助的项目 |
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| 摘 要： | 对一类具非线性内吸收、反应梯度项及边界流的半线性抛物方程,研究了更加困难的临界情形下的爆破解的渐近行为,填补了先前工作遗留的缺口.为此,引入了改进的伸缩变换方法.
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| 关 键 词： | 爆破速率 内吸收 梯度项 非线性边界流 伸缩变换方法 |
Asymptotic Behavior of Solutions to a Multi-nonlinear Parabolic Equation with a Reactive Gradient Term |
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| WANG Wei and ZHENG Sining.Asymptotic Behavior of Solutions to a Multi-nonlinear Parabolic Equation with a Reactive Gradient Term[J].Chinese Annals of Mathematics,2012,33(4):461-468. |
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| Authors: | WANG Wei and ZHENG Sining |
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| Institution: | 1 School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,Liaoning,China. |
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| Abstract: | This paper deals with a semilinear parabolic equation with nonlinear inner
absorption, reactive gradient term and boundary flux. The authors consider the asymptotic
behavior of the blow-up solutions in the more difficult critical situation, in order to fill a gap
left by the previous work. For this purpose, some refined rescaling technique is introduced. |
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| Keywords: | Blow-up rate Inner absorption Gradient term Nonlinear boundary
flux Rescaling technique |
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