摘要
This paper studies the asymptotic behavior of solutions for a nonlinear convection diffusion reaction equation in R^(n).Firstly,the global existence and uniqueness of classical solutions for small initial data are established.Then,we obtain the L^(p),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.
基金
supported by the Science and Technology Research Program of Chongqing Municipal Educaton Commission(Grant No.KJQN201900543)
the Natural Science Foundation of Chongqing(Grant No.cstc2020jcyj-msxm X0709,Grant No.cstc2020jcyj-jq X0022)
the Natural Science Foundation of China(Grant No.12001073)。
