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Asymptotic results and critical Fujita exponent in parabolic equations with nonlocal nonlinearity
Applicable Analysis ( IF 1.1 ) Pub Date : 2021-05-02 , DOI: 10.1080/00036811.2021.1922674
Fengjie Li 1 , Jiaqi Liu 1
Affiliation  

This paper deals with the parabolic equations coupled via nonlocal multiple nonlinearity. We determine the critical Fujita exponents for blow-up solutions, which are influenced by the time coefficients. Moreover, we obtain the complete and optimal classification on simultaneous and non-simultaneous blow-up of solutions. Then simultaneous blow-up rates and estimates on blow-up time are studied according to the precise blow-up phenomena for all of the dimensions of the space domain.



中文翻译:

非局部非线性抛物方程的渐近结果和临界藤田指数

本文处理通过非局部多重非线性耦合的抛物线方程。我们确定了受时间系数影响的爆破解决方案的关键 Fujita 指数。此外,我们获得了解决方案同时和非同时爆炸的完整和最优分类。然后根据空间域所有维度的精确爆破现象研究同时爆破率和爆破时间估计。

更新日期:2021-05-02
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