| 抛物型边界热源方程的爆破解及其上下界 |
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| 引用本文： | 牟金保,熊辉.抛物型边界热源方程的爆破解及其上下界[J].数学的实践与认识,2021(7):187-194. |
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| 作者姓名： | 牟金保 熊辉 |
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| 作者单位： | 西藏民族大学教育学院;澳门城市大学通识教育部 |
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| 基金项目： | 国家自然科学基金(11761065)。 |
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| 摘 要： | 讨论了一类典型的半线性抛物型方程,其在物理上对应具有边界热源的热传导问题,证明了非平凡解发生爆破的充分条件,并讨论了爆破速率之上界与下界.
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| 关 键 词： | 半线性抛物型方程 爆破 边界热源 上下界 |
Blow-up Solution and Its Upper and Lower Bound of a Parabolic Equation with Boundary Heat Source |
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| MOU Jin-bao,XIONG Hui.Blow-up Solution and Its Upper and Lower Bound of a Parabolic Equation with Boundary Heat Source[J].Mathematics in Practice and Theory,2021(7):187-194. |
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| Authors: | MOU Jin-bao XIONG Hui |
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| Institution: | (School of Education,Xizang Minzu University,Xianyang 712082,China;General Education Ministry,City University of Macao,Macao 999078,China) |
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| Abstract: | A typical nonlinear parabolic equation,which corresponds to heat conduction problem with boundary heat source in physics,has been studied in this paper.Some sufficient conditions for blow-up has been proved,and the upper and lower estimates for the blow-up rate has been discussed as well. |
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| Keywords: | semilinear parabolic equation blow-up boundary heat source upper and lower bound |
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