数学物理学报 ›› 2020, Vol. 40 ›› Issue (3): 735-755.
收稿日期:
2018-08-29
出版日期:
2020-06-26
发布日期:
2020-07-15
通讯作者:
方钟波
E-mail:yadongzheng2017@sina.com;fangzb7777@hotmail.com
作者简介:
郑亚东, E-mail:基金资助:
Yadong Zheng(),Zhongbo Fang*()
Received:
2018-08-29
Online:
2020-06-26
Published:
2020-07-15
Contact:
Zhongbo Fang
E-mail:yadongzheng2017@sina.com;fangzb7777@hotmail.com
Supported by:
摘要:
该文研究了具有时变系数梯度项的弱耦合反应-扩散方程组齐次Dirichlet初边值问题解的爆破现象.结合修正微分不等式技巧及比较原理,得到了在若干个不同测度意义下解的整体存在性与有限时刻发生爆破的充分条件,并在高维空间中导出了爆破解的爆破时间界的估计.
中图分类号:
郑亚东,方钟波. 一类具有时变系数梯度源项的弱耦合反应-扩散方程组解的爆破分析[J]. 数学物理学报, 2020, 40(3): 735-755.
Yadong Zheng,Zhongbo Fang. Blow-Up Analysis for a Weakly Coupled Reaction-Diffusion System with Gradient Sources Terms and Time-Dependent Coefficients[J]. Acta mathematica scientia,Series A, 2020, 40(3): 735-755.
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