%0 Journal Article %T Keller-Segel型交叉扩散方程组柯西问题解的逐点估计<br>The pointwise estimates of solutions to the Cauchy problem of Keller-Segel equations with cross-diffusion %A 段双双 %A 钱媛媛< %A br> %A DUAN Shuang-shuang %A QIAN Yuan-yuan %J 山东大学学报(理学版) %D 2017 %R 10.6040/j.issn.1671-9352.0.2016.330 %X 摘要: 研究了一类Keller-Segel型交叉扩散方程组的柯西问题。 利用Green函数的方法, 得到带有小初值的柯西问题解的逐点估计, 以及解在W s,p(Rn)空间中的衰减性质。<br>Abstract: We consider the Canchy problem for a class of Keller-Segel equations with cross-diffusion. By utilizing the method of Greens function, we obtain the pointwise estimates of solutions to the Cauchy problem for small initial data, and the W s,p(1≤p≤∞) decay properties of solutions %K Green 函数 %K Keller-Segel 模型 %K 衰减率 %K 逐点估计 %K 趋化性 %K < %K br> %K Greens function %K decay rates %K Keller-Segel model %K pointwise estimates %K chemotaxis %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2016.330