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    题名 作者 年代 出处 被引量
1THE POINTWISE ESTIMATES OF SOLUTIONS FOR A NONLINEAR CONVECTION DIFFUSION REACTION EQUATION显示文摘This paper studies the time asymptotic behavior of solutions for a nonlinear convection diffusion reaction equation in one dimension.First,the pointwise estimates of solutions are obtained,furthermore,we obtain the optimal L^p,1≤ p ≤ +∞,convergence rate of solutions for small initial data.Then we establish the local existence of solutions,the blow up criterion and the sufficient condition to ensure the nonnegativity of solutions for large initial data.Our approach is based on the detailed analysis of the Green function of the linearized equation and some energy estimates.刘国威 2017Acta Mathematica Scientia2017,37,1:1
2L^(p) Decay Rate for a Nonlinear Convection Diffusion Reaction Equation in R~n显示文摘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.Guo-wei LIU Hong-mei XU Yuan-mei XIA 2021Acta Mathematicae Applicatae Sinica2021,37,2:0
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