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

• 作者: Guo-wei LIU Hong-mei XU Yuan-mei XIA
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 380-392
• 页数: 13页
• 语种: 英文

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.