论文部分内容阅读
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.