| 带有耗散梯度函数的抛物方程爆破与有效性分析 |
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| 引用本文： | 凌征球,何冰.带有耗散梯度函数的抛物方程爆破与有效性分析[J].吉林大学学报(理学版),2002,58(1):47-53. |
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| 作者姓名： | 凌征球 何冰 |
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| 作者单位： | 1. 玉林师范学院 数学与统计学院, 广西 玉林 537000; 2. 吉林大学 数学学院, 长春 130012
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| 摘 要： | 通过建立合适的Sobolev型不等式, 解决一类混合边界条件下含有耗散梯度函数的抛物方程解的爆破问题, 当问题解发生爆破时, 使用两种方法得到了其爆破时间的下界估计, 并给出这些方法的有效性分析.
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| 关 键 词： | 爆破 下界 耗散梯度 混合边界条件 |
| 收稿时间： | 2019-05-05 |
Blow up and Effectiveness Analysis in a Parabolic Equationwith Dissipative Gradient Function |
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| LING Zhengqiu,HE Bing.Blow up and Effectiveness Analysis in a Parabolic Equationwith Dissipative Gradient Function[J].Journal of Jilin University: Sci Ed,2002,58(1):47-53. |
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| Authors: | LING Zhengqiu HE Bing |
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| Institution: | 1. School of Mathematics and Statistics, Yulin Normal University, Yulin 537000, Guangxi ZhuangAutonomous Region, China;
2. College of Mathematics, Jilin University, Changchun 130012, China
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| Abstract: | By establishing an appropriate Sobolev inequality,we solved the blow up problem of solutions of a class of parabolic equation with dissipative gradient functions under mixed boundary conditions. Furthermore, two methods were used to obtain estimates of the lower bound of blow up time for blow up solutions, and theeffectiveness of the these methods was analyzed. |
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| Keywords: | blow up lower bound dissipative gradient mixed boundary condition |
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