| 摘要: |
| 本文研究了Robin边界条件下含有梯度项的一类抛物方程解的爆破问题.利用合适的Sobolve型与一阶微分不等式等方法，获得了当方程的解发生爆破时其爆破时间的下界估计与解不发生爆破的条件.推广了文献[4]的结果. |
| 关键词: 爆破 下界 梯度 Robin边界条件 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:国家自然科学基金资助（11461076）. |
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| BLOW-UP ANALYSIS IN A PARABOLIC EQUATION WITH GRADIENT TERM UNDER ROBIN BOUNDARY CONDITION |
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LING Zheng-qiu, QIN Si-qian, ZHOU Ze-wen
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School of Mathematics and Statistics, Yulin Normal University, Yulin 537000, China
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| Abstract: |
| In this paper, we study the blow-up questions of solution for a parabolic equation with a gradient term under Robin boundary condition. By using Sobolev-type and first order differential inequalities, we get a lower bound on blow-up time when blow-up does occur and the conditions which ensure that blow-up does not appear, which promote the conclusion of the fourth reference. |
| Key words: blow-up lower bound gradient Robin boundary condition |
