| 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,2012,33(4):461~468 |
| 具反应梯度项的多重非线性抛物方程解的渐近行为 |
| Asymptotic Behavior of Solutions to a Multi-nonlinear Parabolic Equation with a Reactive Gradient Term |
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| DOI： |
| 中文关键词: 爆破速率 内吸收 梯度项 非线性边界流 伸缩变换方法 |
| 英文关键词:Blow-up rate, Inner absorption, Gradient term, Nonlinear boundary
flux, Rescaling technique |
| 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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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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