Lp Decay Rate for a Nonlinear Convection Diffusion Reaction Equation in ℝn

被引：0
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作者：
Guo-wei Liu
Hong-mei Xu
Yuan-mei Xia
机构：
[1] Chongqing Normal University,School of Mathematical Sciences
[2] Hohai University,Faculty of Science
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2021年 / 37卷
关键词：
convection diffusion reaction equation; Green function; decay rate; 35Q35; 35B40;
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学科分类号：
摘要：
This paper studies the asymptotic behavior of solutions for a nonlinear convection diffusion reaction equation in ℝn. Firstly, the global existence and uniqueness of classical solutions for small initial data are established. Then, we obtain the Lp, 2 ⩽ p ⩽ +℞ decay rate of solutions. The approach is based on detailed analysis of the Green function of the linearized equation with the technique of long wave-short wave decomposition and the Fourier analysis.
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页码：380 / 392
页数：12
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