一类具对数非线性项的伪p-拉普拉斯方程的整体解和爆破的注记

数学物理学报 ›› 2019, Vol. 39 ›› Issue (1): 125-132.

一类具对数非线性项的伪p-拉普拉斯方程的整体解和爆破的注记

贺艺军^1,*(),高怀红¹,王华²,李顺勇¹

¹ 山西大学数学科学学院太原 030006
² 太原科技大学应用科学学院太原 030024

收稿日期:2017-06-27 出版日期:2019-02-26 发布日期:2019-03-12
通讯作者: 贺艺军 E-mail:heyijun@sxu.edu.cn
基金资助:
国家自然科学基金(11401351);国家自然科学基金(61403239);山西省自然科学基金(2014011005-2);太原科技大学博士启动基金(20152042);山西省回国留学人员科研资助项目(2016-009)

A Note on Global Solution and Blow-Up for a Class of Pseudo p-Laplacian Evolution Equations with Logarithmic Nonlinearity

Yijun He^1,*(),Huaihong Gao¹,Hua Wang²,Shunyong Li¹

¹ School of Mathematical Sciences, Shanxi University, Taiyuan 030006
² School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024

Received:2017-06-27 Online:2019-02-26 Published:2019-03-12
Contact: Yijun He E-mail:heyijun@sxu.edu.cn
Supported by:
the NSFC(11401351);the NSFC(61403239);the Science Foundation of Shanxi Province(2014011005-2);the Doctor Startup Fund of Taiyuan University of Science and Technology(20152042);the Shanxi Scholarship Council of China(2016-009)

摘要/Abstract

摘要：

该文研究了具对数非线性项的伪p-拉普拉斯方程的初边值问题.在不同的初始条件下，得到有限时间爆破和解的渐近行为的结果.这些结果改进了Nhan和Truong^[12]中的相应结果.

关键词: 伪p-拉普拉斯方程, 爆破, 代数衰减, 对数非线性

Abstract:

We consider the initial-boundary value problem for a pseudo p-Laplacian equation with logarithmic nonlinearity. Under different initial conditions, we get the results on blow up in finite time and asymptotic behavior of solutions. These results extend some recent results by Nhan and Truong^[12].

Key words: Pseudo p-Laplacian equation, Blow-up, Algebraically decay, Logarithmic nonlinearity

中图分类号:

O175.2

贺艺军,高怀红,王华,李顺勇. 一类具对数非线性项的伪p-拉普拉斯方程的整体解和爆破的注记[J]. 数学物理学报, 2019, 39(1): 125-132.

Yijun He,Huaihong Gao,Hua Wang,Shunyong Li. A Note on Global Solution and Blow-Up for a Class of Pseudo p-Laplacian Evolution Equations with Logarithmic Nonlinearity[J]. Acta mathematica scientia,Series A, 2019, 39(1): 125-132.

参考文献 16

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